Edit Profile (opens in new tab) Kelarev, Andrei Vladimirovich Co-Author Distance Author ID: kelarev.andrei-v Published as: Kelarev, A. V.; Kelarev, Andrei; Kelarev, Andrei V. more...less Homepage: https://www.newcastle.edu.au/profile/andrei-kelarev External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 165 Publications since 1986, including 2 Books 1 Contribution as Editor Co-Authors: 65 Co-Authors with 82 Joint Publications 2,029 Co-Co-Authors all top 5 Co-Authors 82 single-authored 12 Abawajy, Jemal H. 11 Yearwood, J. L. 8 Ryan, Joe 8 Sokratova, Olga V. 6 Quinn, Stephen J. 5 Dăscălescu, Sorin 5 Okniński, Jan 5 Watters, Paul A. 5 Yearwood, John 4 Cazaran, Jilyana 4 Miller, Mirka 4 Stokes, Timothy E. 3 Chowdhury, Morshed U. 3 Yi, Xun 2 Alfaro, Ricardo 2 Beliakov, Gleb 2 Bereg, Sergey N. 2 Clase, Michael V. 2 Gardner, Barry James 2 Jespers, Eric 2 Mammadov, Musa A. 2 Nastasescu, Constantin 2 Pan, Linlin 2 Rylands, Leanne J. 2 Seberry, Jennifer R. 2 Vamplew, Peter W. 2 van Wyk, Leon 2 Volkov, Mikhail Vladimirovich 2 Wu, Xinwen 1 Araújo, Isabel M. 1 Bagirov, Adil M. 1 Bespamyatnikh, Sergei N. 1 Dazeley, Richard 1 Fearnley-Sander, Desmond 1 Gao, David Yang 1 Göbel, Rüdiger 1 Han, Fengling 1 Jarvis, Peter D. 1 Jelinek, Herbert F. 1 Justin, Jacques 1 Lin, Yuqing 1 Luo, Junwei 1 Ma, Xuanlong 1 McConnell, Nicholas R. 1 Passman, Donald Steven 1 Pirillo, Giuseppe 1 Praeger, Cheryl Elisabeth 1 Rangaswamy, Kulumani M. 1 Ras, Charl J. 1 Sălăgean, Ana Maria 1 Schultz, Phillip 1 Shumyatsky, Pavel 1 Smolíková, Renata 1 Solé, Patrick 1 Solomon, Andrew 1 Stouks, T. 1 Torrecillas Jover, Blas 1 Turville, C. 1 van der Merwe, Andries B. 1 Vertigan, Dirk 1 Vinsonhaler, Charles I. 1 Wang, Kaishun 1 Yang, Xuechao 1 Zhou, Sanming 1 Zi, Lifang all top 5 Serials 20 Semigroup Forum 13 Communications in Algebra 10 Bulletin of the Australian Mathematical Society 10 Journal of Algebra 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Commentationes Mathematicae Universitatis Carolinae 3 Soviet Mathematics 3 Southeast Asian Bulletin of Mathematics 3 Acta Mathematica Universitatis Comenianae. New Series 3 Journal of the Australian Mathematical Society. Series A 3 New Zealand Journal of Mathematics 3 Fundamental’naya i Prikladnaya Matematika 3 Journal of Discrete Algorithms 3 Electronic Journal of Graph Theory and Applications 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 2 Proceedings of the American Mathematical Society 2 Publicationes Mathematicae Debrecen 2 Studia Scientiarum Mathematicarum Hungarica 2 International Journal of Algebra and Computation 2 The Australasian Journal of Combinatorics 2 Algebra Colloquium 2 Finite Fields and their Applications 2 Journal of Automata, Languages and Combinatorics 2 Far East Journal of Applied Mathematics 2 Journal of the Australian Mathematical Society 2 Advances and Applications in Statistics 2 Asian-European Journal of Mathematics 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Beiträge zur Algebra und Geometrie 1 Acta Cybernetica 1 Acta Scientiarum Mathematicarum 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematica Japonica 1 Quaestiones Mathematicae 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Simon Stevin 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Optimization 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 International Journal of Computer Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Russian Mathematics 1 Filomat 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 The Korean Journal of Computational & Applied Mathematics 1 Fundamenta Informaticae 1 Ultra Scientist of Physical Sciences 1 Contemporary Mathematics 1 Matematicheskie Zapiski 1 Pure and Applied Mathematics, Marcel Dekker 1 Series in Algebra 1 Mathematics in Computer Science 1 Applied and Computational Mathematics all top 5 Fields 102 Associative rings and algebras (16-XX) 84 Group theory and generalizations (20-XX) 41 Computer science (68-XX) 26 Combinatorics (05-XX) 18 Information and communication theory, circuits (94-XX) 10 Commutative algebra (13-XX) 7 Statistics (62-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 General algebraic systems (08-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Mathematical logic and foundations (03-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 1,665 times in 500 Documents Cited by ▼ Year ▼ Directed graphs and combinatorial properties of semigroups. Zbl 1005.20043 Kelarev, A. V.; Quinn, S. J. 145 2002 Cayley graphs as classifiers for data mining: the influence of asymmetries. Zbl 1206.05050 Kelarev, Andrei; Ryan, Joe; Yearwood, John 138 2009 Power graphs: a survey. Zbl 1306.05090 Abawajy, Jemal; Kelarev, Andrei; Chowdhury, Morshed 126 2013 Graph algebras and automata. Zbl 1070.68097 Kelarev, Andrei 124 2003 A combinatorial property and power graphs of groups. Zbl 0966.05040 Kelarev, A. V.; Quinn, S. J. 119 2000 Ring constructions and applications. Zbl 0999.16036 Kelarev, Andrei V. 93 2002 On transitive Cayley graphs of groups and semigroups. Zbl 1011.05027 Kelarev, Andrei V.; Praeger, Cheryl E. 69 2003 Power graphs and semigroups of matrices. Zbl 1043.20042 Kelarev, A. V.; Quinn, S. J.; Smolíková, R. 64 2001 Labelled Cayley graphs and minimal automata. Zbl 1152.68482 Kelarev, A. V. 63 2004 A combinatorial property and power graphs of semigroups. Zbl 1099.05042 Kelarev, A. V.; Quinn, S. J. 54 2004 On undirected Cayley graphs. Zbl 0993.05085 Kelarev, A. V. 49 2002 On Cayley graphs of inverse semigroups. Zbl 1107.20057 Kelarev, A. V. 38 2006 A combinatorial property and Cayley graphs of semigroups. Zbl 1016.20047 Kelarev, A. V.; Quinn, S. J. 34 2003 A combinatorial property and growth for semigroups of matrices. Zbl 0942.20043 Kelarev, A. V.; Okniński, J. 23 1998 Combinatorial properties and homomorphisms of semigroups. Zbl 0815.20054 Kelarev, A. V. 20 1994 Error-correcting codes as ideals in group rings. Zbl 0983.94043 Kelarev, A. V.; Solé, P. 19 2001 An algorithm for computing the minimum distances of extensions of BCH codes embedded in semigroup rings. Zbl 1145.94023 Cazaran, J.; Kelarev, A. V.; Quinn, S. J.; Vertigan, D. 18 2006 On semigroup graded PI-algebras. Zbl 0808.16048 Kelarev, A. V. 16 1993 On groupoid graded rings. Zbl 0840.16017 Kelarev, A. V. 16 1995 A sum of two locally nilpotent rings may be not nil. Zbl 0784.16011 Kelarev, A. V. 16 1993 Generators and weights of polynomial codes. Zbl 0898.94010 Cazaran, Jilyana; Kelarev, Andrei V. 16 1997 Applications of epigroups to graded ring theory. Zbl 0824.16031 Kelarev, A. V. 15 1995 Bergman’s lemma for graded rings. Zbl 0835.16037 Kelarev, A. V.; Plant, A. 15 1995 A polynomial ring construction for the classification of data. Zbl 1181.16024 Kelarev, A. V.; Yearwood, J. L.; Vamplew, P. W. 15 2009 A formula for multiple classifiers in data mining based on Brandt semigroups. Zbl 1168.94007 Kelarev, A. V.; Yearwood, J. L.; Mammadov, M. A. 13 2009 Distance labellings of Cayley graphs of semigroups. Zbl 1355.20043 Kelarev, Andrei; Ras, Charl; Zhou, Sanming 13 2015 Rees matrix constructions for clustering of data. Zbl 1233.16021 Kelarev, A. V.; Watters, P.; Yearwood, J. L. 11 2009 On finite principal ideal rings. Zbl 0926.13015 Cazaran, J.; Kelarev, A. V. 10 1999 A description of incidence rings of group automata. Zbl 1154.16015 Kelarev, A. V.; Passman, D. S. 10 2008 Syntactic semigroups and graph algebras. Zbl 0972.08002 Kelarev, A. V.; Sokratova, O. V. 9 2000 Directed graphs and Lie superalgebras of matrices. Zbl 1064.17015 Kelarev, A. V. 8 2005 On group graded rings satisfying polynomial identities. Zbl 0829.16015 Kelarev, A. V.; Okniński, J. 8 1995 Abelian groups, rings and modules. Proceedings of the AGRAM 2000 conference, Perth, Australia, July 9–15, 2000. Zbl 0960.00043 8 2001 Semisimple rings graded by inverse semigroups. Zbl 0910.16024 Kelarev, A. V. 8 1998 Combinatorial properties of sequences in groups and semigroups. Zbl 0914.68155 Kelarev, A. V. 8 1997 On congruences of automata defined by directed graphs. Zbl 1022.68068 Kelarev, A. V.; Sokratova, O. V. 8 2003 A survey on enhanced power graphs of finite groups. Zbl 1487.05119 Ma, Xuanlong; Kelarev, Andrei; Lin, Yuqing; Wang, Kaishun 8 2022 Optimization of matrix semirings for classification systems. Zbl 1244.16040 Gao, D. Y.; Kelarev, A. V.; Yearwood, J. L. 8 2011 Interior algebras and varieties. Zbl 0939.16013 Kelarev, A. V.; Stokes, T. 6 1999 A primitive ring which is a sum of two Wedderburn radical subrings. Zbl 0871.16004 Kelarev, A. V. 6 1997 Hereditary radicals and bands of associative rings. Zbl 0756.16010 Kelarev, A. V. 6 1991 Artinian semigroup-graded rings. Zbl 0836.16027 Clase, M. V.; Jespers, E.; Kelarev, A. V.; Okniński, J. 6 1995 Algorithms for computing parameters of graph-based extensions of BCH codes. Zbl 1134.94391 Kelarev, A. V. 6 2007 Internet security applications of the Munn rings. Zbl 1203.94142 Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, Linlin 6 2010 Semigroup gradings of full matrix rings. Zbl 0998.16032 Dăscălescu, S.; Kelarev, A. V.; van Wyk, L. 5 2001 Two versions of graded rings. Zbl 0857.16041 Kelarev, A. V.; McConnell, N. R. 5 1995 Radicals of graded rings and applications to semigroup rings. Zbl 0748.16018 Kelarev, A. V. 5 1992 Nil properties for rings which are sums of their additive subgroups. Zbl 0816.16020 Kelarev, A. V. 5 1994 Classification systems based on combinatorial semigroups. Zbl 1267.68173 Abawajy, J.; Kelarev, A. V. 5 2013 Optimization of classifiers for data mining based on combinatorial semigroups. Zbl 1211.68323 Kelarev, A. V.; Yearwood, J. L.; Watters, P. A. 5 2011 The minimum number of idempotent generators of an upper triangular matrix algebra. Zbl 0913.16014 Kelarev, A. V.; van der Merwe, A. B.; van Wyk, L. 5 1998 Rees semigroups of digraphs for classification of data. Zbl 1347.20066 Abawajy, Jemal; Kelarev, Andrei V.; Miller, M.; Ryan, Joe 5 2016 On the Jacobson radical of graded rings. Zbl 1002.16040 Jespers, E.; Kelarev, A. V.; Okniński, J. 4 2001 An algorithm for commutative semigroup algebras which are principal ideal rings. Zbl 1085.20042 Araújo, I. M.; Kelarev, A. V.; Solomon, A. 4 2004 A general approach to the structure of radicals in some ring constructions. Zbl 0801.16018 Kelarev, A. V. 4 1993 Structure of radicals in bands of semigroups. Zbl 0746.20043 Kelarev, A. V. 4 1991 On the Jacobson radical of graded rings. Zbl 0765.16013 Kelarev, A. V. 4 1992 On cyclic codes in incidence rings. Zbl 1174.94414 Alfaro, Ricardo; Kelarev, Andrei V. 4 2006 Hereditary radicals and 0-bands of semigroups. Zbl 0661.20043 Kelarev, A. V. 4 1989 Recent results on ring constructions for error-correcting codes. Zbl 1087.94028 Alfaro, Ricardo; Kelarev, Andrei 4 2005 An algorithm for BCH codes extended with finite state automata. Zbl 1155.94027 Kelarev, Andrei 4 2008 Optimization methods and the \(k\)-committees algorithm for clustering of sequence data. Zbl 1184.49027 Yearwood, J. L.; Bagirov, A. M.; Kelarev, A. V. 4 2009 Homogeneity of the radical of semigroup-graded rings. Zbl 0808.16051 Clase, M. V.; Kelarev, A. V. 3 1994 FBN Hopf module algebras. Zbl 0885.16023 Dăscălescu, S.; Kelarev, A. V.; Torrecillas, B. 3 1997 On regular semigroup rings. Zbl 0683.20052 Kelarev, A. V. 3 1990 The Jacobson radical of commutative semigroup rings. Zbl 0772.16012 Kelarev, A. V. 3 1992 On classical Krull dimension of group-graded rings. Zbl 0883.16016 Kelarev, A. V. 3 1997 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130 Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 An algorithm for the optimization of multiple classifiers in data mining based on graphs. Zbl 1197.05146 Kelarev, Andrei; Ryan, Joe; Yearwood, John 3 2009 An answer to a question of Kegel on sums of rings. Zbl 0902.16023 Kelarev, A. V. 3 1998 Directed graphs and nilpotent rings. Zbl 0926.16021 Kelarev, A. V. 3 1998 Incidence semirings of graphs and visible bases. Zbl 1304.16047 Abawajy, J.; Kelarev, A. V.; Miller, M.; Ryan, J. 3 2014 Centroid sets with largest weight in Munn semirings for data mining applications. Zbl 1298.68211 Abawajy, J.; Kelarev, A. V.; Zeleznikow, J. 3 2013 When is the radical of a band sum of rings homogeneous? Zbl 0697.20049 Kelarev, A. V. 3 1990 On incidence rings of group automata. Zbl 1040.16018 Kelarev, A. V. 2 2003 Recent results and open questions on semigroup graded rings. Zbl 0949.16042 Kelarev, A. V. 2 1998 Languages recognized by a class of finite automata. Zbl 0981.68074 Kelarev, A. V.; Sokratova, O. V. 2 2001 On homogeneous radicals of semigroup rings of commutative semigroups. Zbl 0799.20060 Kelarev, A. V. 2 1993 On the structure of the Jacobson radical of graded rings. Zbl 0853.16048 Kelarev, A. V. 2 1996 The Jacobson radical of graded PI-rings and related classes of rings. Zbl 0879.16029 Kelarev, A. V.; Okniński, J. 2 1996 On semigroup algebras of cancellative commutative semigroups. Zbl 0744.20054 Kelarev, A. V. 2 1991 Radicals and semilattice sums of rings revisited. Zbl 0748.16007 Kelarev, A. V. 2 1992 Radicals of semigroup rings of commutative semigroups. Zbl 0793.16018 Kelarev, A. V. 2 1994 Radicals and semigroup rings. Zbl 0676.16007 Kelarev, A. V. 2 1988 Radicals and bands of semigroups. Zbl 0684.20051 Kelarev, A. V. 2 1988 On the description of radicals of semigroup rings of commutative semigroups. Zbl 0851.20058 Kelarev, A. V. 2 1995 Optimal Rees matrix constructions for analysis of data. Zbl 1296.20061 Kelarev, A. V.; Yearwood, J. L.; Zi, Lifang 2 2012 Global non-smooth optimization in robust multivariate regression. Zbl 1270.90047 Beliakov, Gleb; Kelarev, Andrei 2 2013 On the Jacobson radical of semigroup rings of commutative semigroups. Zbl 0717.16016 Kelarev, A. V. 2 1990 Radical classes and bands of associative algebras. Zbl 0719.16012 Kelarev, A. V. 2 1990 Semigroup rings in semisimple varieties. Zbl 0918.16019 Kelarev, A. V. 2 1998 Languages recognized by two-sided automata of graphs. Zbl 1081.68046 Kelarev, Andrei V.; Miller, Mirka; Sokratova, Olga V. 2 2005 Optimization of multiple classifiers in data mining based on string rewriting systems. Zbl 1178.68405 Dazeley, Richard; Kelarev, Andrei; Yearwood, John; Mammadov, Musa 2 2009 On varieties of quasiregular and strongly regular rings. Zbl 0691.13007 Kelarev, A. V. 2 1988 Varieties and bands of associative rings. Zbl 0618.16015 Volkov, M. V.; Kelarev, A. V. 2 1986 A data mining application of the incidence semirings. Zbl 1297.68196 Abawajy, J.; Kelarev, A. V.; Yearwood, J. L.; Turville, C. 2 2013 Radicals and \(0\)-bands of semigroups. Zbl 0803.20044 Kelarev, A. V. 1 1992 A statistical algorithm for computing information rates of codes with computer algebra systems. Zbl 1323.62011 Kelarev, A. V. 1 2005 On group automata over finite fields. Zbl 1043.16013 Kelarev, A. V. 1 2004 Band-graded rings. Zbl 0936.16042 Kelarev, A. V. 1 1999 A survey on enhanced power graphs of finite groups. Zbl 1487.05119 Ma, Xuanlong; Kelarev, Andrei; Lin, Yuqing; Wang, Kaishun 8 2022 Discrete algorithms and methods for security of statistical databases related to the work of Mirka Miller. Zbl 1410.68110 Kelarev, Andrei; Ryan, Joe; Rylands, Leanne; Seberry, Jennifer; Yi, Xun 1 2018 Combinatorial algorithms and methods for security of statistical databases related to the work of Mirka Miller. Zbl 1504.68054 Kelarev, Andrei; Seberry, Jennifer; Rylands, Leanne; Yi, Xun 1 2018 Rees semigroups of digraphs for classification of data. Zbl 1347.20066 Abawajy, Jemal; Kelarev, Andrei V.; Miller, M.; Ryan, Joe 5 2016 Distance labellings of Cayley graphs of semigroups. Zbl 1355.20043 Kelarev, Andrei; Ras, Charl; Zhou, Sanming 13 2015 Incidence semirings of graphs and visible bases. Zbl 1304.16047 Abawajy, J.; Kelarev, A. V.; Miller, M.; Ryan, J. 3 2014 Power graphs: a survey. Zbl 1306.05090 Abawajy, Jemal; Kelarev, Andrei; Chowdhury, Morshed 126 2013 Classification systems based on combinatorial semigroups. Zbl 1267.68173 Abawajy, J.; Kelarev, A. V. 5 2013 Centroid sets with largest weight in Munn semirings for data mining applications. Zbl 1298.68211 Abawajy, J.; Kelarev, A. V.; Zeleznikow, J. 3 2013 Global non-smooth optimization in robust multivariate regression. Zbl 1270.90047 Beliakov, Gleb; Kelarev, Andrei 2 2013 A data mining application of the incidence semirings. Zbl 1297.68196 Abawajy, J.; Kelarev, A. V.; Yearwood, J. L.; Turville, C. 2 2013 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130 Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 Optimal Rees matrix constructions for analysis of data. Zbl 1296.20061 Kelarev, A. V.; Yearwood, J. L.; Zi, Lifang 2 2012 Optimization of matrix semirings for classification systems. Zbl 1244.16040 Gao, D. Y.; Kelarev, A. V.; Yearwood, J. L. 8 2011 Optimization of classifiers for data mining based on combinatorial semigroups. Zbl 1211.68323 Kelarev, A. V.; Yearwood, J. L.; Watters, P. A. 5 2011 Optimization and matrix constructions for classification of data. Zbl 1248.16037 Kelarev, A. V.; Yearwood, J. L.; Vamplew, P. W.; Abawajy, J.; Chowdhury, M. 1 2011 Internet security applications of the Munn rings. Zbl 1203.94142 Kelarev, A. V.; Yearwood, J. L.; Watters, P.; Wu, X.; Abawajy, J. H.; Pan, Linlin 6 2010 Cayley graphs as classifiers for data mining: the influence of asymmetries. Zbl 1206.05050 Kelarev, Andrei; Ryan, Joe; Yearwood, John 138 2009 A polynomial ring construction for the classification of data. Zbl 1181.16024 Kelarev, A. V.; Yearwood, J. L.; Vamplew, P. W. 15 2009 A formula for multiple classifiers in data mining based on Brandt semigroups. Zbl 1168.94007 Kelarev, A. V.; Yearwood, J. L.; Mammadov, M. A. 13 2009 Rees matrix constructions for clustering of data. Zbl 1233.16021 Kelarev, A. V.; Watters, P.; Yearwood, J. L. 11 2009 Optimization methods and the \(k\)-committees algorithm for clustering of sequence data. Zbl 1184.49027 Yearwood, J. L.; Bagirov, A. M.; Kelarev, A. V. 4 2009 An algorithm for the optimization of multiple classifiers in data mining based on graphs. Zbl 1197.05146 Kelarev, Andrei; Ryan, Joe; Yearwood, John 3 2009 Optimization of multiple classifiers in data mining based on string rewriting systems. Zbl 1178.68405 Dazeley, Richard; Kelarev, Andrei; Yearwood, John; Mammadov, Musa 2 2009 A description of incidence rings of group automata. Zbl 1154.16015 Kelarev, A. V.; Passman, D. S. 10 2008 An algorithm for BCH codes extended with finite state automata. Zbl 1155.94027 Kelarev, Andrei 4 2008 Algorithms for computing parameters of graph-based extensions of BCH codes. Zbl 1134.94391 Kelarev, A. V. 6 2007 On Cayley graphs of inverse semigroups. Zbl 1107.20057 Kelarev, A. V. 38 2006 An algorithm for computing the minimum distances of extensions of BCH codes embedded in semigroup rings. Zbl 1145.94023 Cazaran, J.; Kelarev, A. V.; Quinn, S. J.; Vertigan, D. 18 2006 On cyclic codes in incidence rings. Zbl 1174.94414 Alfaro, Ricardo; Kelarev, Andrei V. 4 2006 Directed graphs and Lie superalgebras of matrices. Zbl 1064.17015 Kelarev, A. V. 8 2005 Recent results on ring constructions for error-correcting codes. Zbl 1087.94028 Alfaro, Ricardo; Kelarev, Andrei 4 2005 Languages recognized by two-sided automata of graphs. Zbl 1081.68046 Kelarev, Andrei V.; Miller, Mirka; Sokratova, Olga V. 2 2005 A statistical algorithm for computing information rates of codes with computer algebra systems. Zbl 1323.62011 Kelarev, A. V. 1 2005 Labelled Cayley graphs and minimal automata. Zbl 1152.68482 Kelarev, A. V. 63 2004 A combinatorial property and power graphs of semigroups. Zbl 1099.05042 Kelarev, A. V.; Quinn, S. J. 54 2004 An algorithm for commutative semigroup algebras which are principal ideal rings. Zbl 1085.20042 Araújo, I. M.; Kelarev, A. V.; Solomon, A. 4 2004 On group automata over finite fields. Zbl 1043.16013 Kelarev, A. V. 1 2004 On the structure of incidence rings of group automata. Zbl 1067.16037 Kelarev, A. V. 1 2004 On associative superalgebras of matrices. Zbl 1067.16062 Dăscălescu, S.; Jarvis, P. D.; Kelarev, A. V.; Năstăsescu, C. 1 2004 Graph algebras and automata. Zbl 1070.68097 Kelarev, Andrei 124 2003 On transitive Cayley graphs of groups and semigroups. Zbl 1011.05027 Kelarev, Andrei V.; Praeger, Cheryl E. 69 2003 A combinatorial property and Cayley graphs of semigroups. Zbl 1016.20047 Kelarev, A. V.; Quinn, S. J. 34 2003 On congruences of automata defined by directed graphs. Zbl 1022.68068 Kelarev, A. V.; Sokratova, O. V. 8 2003 On incidence rings of group automata. Zbl 1040.16018 Kelarev, A. V. 2 2003 Directed graphs and combinatorial properties of semigroups. Zbl 1005.20043 Kelarev, A. V.; Quinn, S. J. 145 2002 Ring constructions and applications. Zbl 0999.16036 Kelarev, Andrei V. 93 2002 On undirected Cayley graphs. Zbl 0993.05085 Kelarev, A. V. 49 2002 Two algorithms for languages recognized by graph algebras. Zbl 1008.68071 Kelarev, A. V.; Sokratova, O. V. 1 2002 Power graphs and semigroups of matrices. Zbl 1043.20042 Kelarev, A. V.; Quinn, S. J.; Smolíková, R. 64 2001 Error-correcting codes as ideals in group rings. Zbl 0983.94043 Kelarev, A. V.; Solé, P. 19 2001 Abelian groups, rings and modules. Proceedings of the AGRAM 2000 conference, Perth, Australia, July 9–15, 2000. Zbl 0960.00043 8 2001 Semigroup gradings of full matrix rings. Zbl 0998.16032 Dăscălescu, S.; Kelarev, A. V.; van Wyk, L. 5 2001 On the Jacobson radical of graded rings. Zbl 1002.16040 Jespers, E.; Kelarev, A. V.; Okniński, J. 4 2001 Languages recognized by a class of finite automata. Zbl 0981.68074 Kelarev, A. V.; Sokratova, O. V. 2 2001 Semigroup gradings of upper triangular matrix rings. Zbl 1034.16043 Dăscălescu, S.; Kelarev, A. V.; Năstăsescu, C. 1 2001 Information rates and weights of codes in structural matrix rings. Zbl 1057.94034 Kelarev, Andrei; Sokratova, Olga 1 2001 On a theorem of Cohen and Montgomery for graded rings. Zbl 0999.16037 Kelarev, A. V. 1 2001 Directed graphs and syntactic algebras of tree languages. Zbl 0993.68055 Kelarev, Andrei; Sokratova, Olga 1 2001 A combinatorial property and power graphs of groups. Zbl 0966.05040 Kelarev, A. V.; Quinn, S. J. 119 2000 Syntactic semigroups and graph algebras. Zbl 0972.08002 Kelarev, A. V.; Sokratova, O. V. 9 2000 On finite principal ideal rings. Zbl 0926.13015 Cazaran, J.; Kelarev, A. V. 10 1999 Interior algebras and varieties. Zbl 0939.16013 Kelarev, A. V.; Stokes, T. 6 1999 Band-graded rings. Zbl 0936.16042 Kelarev, A. V. 1 1999 Semigroup varieties and semigroup algebras. Zbl 0936.20047 Kelarev, A. V. 1 1999 On rings with inverse adjoint semigroups. Zbl 0945.16017 Kelarev, A. V. 1 1999 Finiteness conditions for semigroup-graded modules. Zbl 0997.16030 Dăscălescu, S.; Kelarev, A. V. 1 1999 A combinatorial property and growth for semigroups of matrices. Zbl 0942.20043 Kelarev, A. V.; Okniński, J. 23 1998 Semisimple rings graded by inverse semigroups. Zbl 0910.16024 Kelarev, A. V. 8 1998 The minimum number of idempotent generators of an upper triangular matrix algebra. Zbl 0913.16014 Kelarev, A. V.; van der Merwe, A. B.; van Wyk, L. 5 1998 An answer to a question of Kegel on sums of rings. Zbl 0902.16023 Kelarev, A. V. 3 1998 Directed graphs and nilpotent rings. Zbl 0926.16021 Kelarev, A. V. 3 1998 Recent results and open questions on semigroup graded rings. Zbl 0949.16042 Kelarev, A. V. 2 1998 Semigroup rings in semisimple varieties. Zbl 0918.16019 Kelarev, A. V. 2 1998 Factorizations of infinite sequences in semigroups. Zbl 0963.20034 Justin, J.; Kelarev, A. V. 1 1998 Generators and weights of polynomial codes. Zbl 0898.94010 Cazaran, Jilyana; Kelarev, Andrei V. 16 1997 Combinatorial properties of sequences in groups and semigroups. Zbl 0914.68155 Kelarev, A. V. 8 1997 A primitive ring which is a sum of two Wedderburn radical subrings. Zbl 0871.16004 Kelarev, A. V. 6 1997 FBN Hopf module algebras. Zbl 0885.16023 Dăscălescu, S.; Kelarev, A. V.; Torrecillas, B. 3 1997 On classical Krull dimension of group-graded rings. Zbl 0883.16016 Kelarev, A. V. 3 1997 Generalized radical semigroup rings. Zbl 0890.16009 Kelarev, A. V. 1 1997 On the structure of the Jacobson radical of graded rings. Zbl 0853.16048 Kelarev, A. V. 2 1996 The Jacobson radical of graded PI-rings and related classes of rings. Zbl 0879.16029 Kelarev, A. V.; Okniński, J. 2 1996 On rings with invariant radicals. Zbl 0849.16019 Kelarev, A. V.; Plant, A. 1 1996 Radicals of algebras graded by cancellative linear semigroups. Zbl 0845.16041 Kelarev, A. V. 1 1996 On groupoid graded rings. Zbl 0840.16017 Kelarev, A. V. 16 1995 Applications of epigroups to graded ring theory. Zbl 0824.16031 Kelarev, A. V. 15 1995 Bergman’s lemma for graded rings. Zbl 0835.16037 Kelarev, A. V.; Plant, A. 15 1995 On group graded rings satisfying polynomial identities. Zbl 0829.16015 Kelarev, A. V.; Okniński, J. 8 1995 Artinian semigroup-graded rings. Zbl 0836.16027 Clase, M. V.; Jespers, E.; Kelarev, A. V.; Okniński, J. 6 1995 Two versions of graded rings. Zbl 0857.16041 Kelarev, A. V.; McConnell, N. R. 5 1995 On the description of radicals of semigroup rings of commutative semigroups. Zbl 0851.20058 Kelarev, A. V. 2 1995 Artinian band sums of rings. Zbl 0824.16030 Kelarev, A. V. 1 1995 Soluble and linear repetitive groups. Zbl 0836.20034 Kelarev, A. V.; Shumyatsky, P. V. 1 1995 Combinatorial properties and homomorphisms of semigroups. Zbl 0815.20054 Kelarev, A. V. 20 1994 Nil properties for rings which are sums of their additive subgroups. Zbl 0816.16020 Kelarev, A. V. 5 1994 Homogeneity of the radical of semigroup-graded rings. Zbl 0808.16051 Clase, M. V.; Kelarev, A. V. 3 1994 Radicals of semigroup rings of commutative semigroups. Zbl 0793.16018 Kelarev, A. V. 2 1994 Finiteness conditions for special band graded rings. Zbl 0814.16040 Kelarev, Andrei V. 1 1994 On the nilpotency of the Jacobson radical of semigroup rings. Zbl 0822.16015 Kelarev, A. V. 1 1994 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 549 Authors 55 Kelarev, Andrei Vladimirovich 26 Ma, Xuanlong 17 Ilić-Georgijević, Emil 15 Afkhami, Mojgan 15 Cameron, Peter Jephson 15 Khashyarmanesh, Kazem 10 Ashrafi, Ali Reza 10 Chattopadhyay, Sriparna 10 Khosravi, Behnam 9 Khosravi, Bahman 9 Kumar, Jitender 9 Okniński, Jan 9 Wang, Kaishun 8 Dalal, Sandeep 8 Panma, Sayan 8 Prasad Panda, Ramesh 8 Stokes, Timothy E. 7 Abawajy, Jemal H. 7 Bera, Sudip 7 Feng, Min 7 Patra, Kamal Lochan 7 Shah, Tariq 7 Yearwood, J. L. 6 Anitha, T. 6 Banerjee, Subarsha 6 de Andrade, Antonio Aparecido 6 Kępczyk, Marek 6 Panigrahi, Pratima 6 Rajkumar, Rajendran 6 Sahoo, Binod Kumar 6 Zahirović, Samir 5 Bhuniya, Anjan Kumar 5 Chiaselotti, Giampiero 5 Dăscălescu, Sorin 5 Gentile, Tommaso 5 Infusino, Federico G. 5 Jespers, Eric 5 Khosravi, Behrooz 5 López-Permouth, Sergio Roberto 5 Luo, Yan Feng 5 Petrogradsky, Victor Mikhaylovich 5 Rather, Bilal Ahmad 5 Ryan, Joe 5 Tamizh Chelvam, Thirugnanam 4 Adhikari, Avishek 4 Beidar, Konstantin Igorevich 4 Doostabadi, Alireza 4 Fu, Ruiqin 4 Gu, Rui 4 Guo, Junying 4 Guo, Xiaojiang 4 Hamzeh, Asma 4 Hou, Hailong 4 Jackson, Marcel G. 4 Jafari, Sayyed Heidar 4 Kambites, Mark 4 Knauer, Kolja B. 4 Pirzada, Shariefuddin 4 Pourgholi, G. R. 4 Watters, Paul A. 4 Yearwood, John 3 Akbari, Saieed 3 Arworn, Srichan 3 Aydoğdu, Pınar 3 Boboc, Crina 3 Curtin, Brian 3 Dey, Hiranya Kishore 3 Gholami, Ahmad 3 Hao, Yifei 3 Ji, Yingdan 3 Johnson, Marianne 3 Knauer, Ulrich 3 Li, Huani 3 Martínez-Moro, Edgar 3 Mehranian, Zeinab 3 Miller, Mirka 3 Moghaddamfar, Ali Reza 3 Mukherjee, Sajal Kumar 3 Nastasescu, Constantin 3 Nielsen, Pace P. 3 Nupo, Nuttawoot 3 Öinert, Johan 3 Quinn, Stephen J. 3 Sen, Mridul Kanti 3 Shestakov, Ivan Pavlovich 3 Singh, Siddharth Prakash 3 Su, Huadong 3 Torrecillas Jover, Blas 3 van Wyk, Leon 3 Wang, Shoufeng 3 Zhu, Yongwen 2 Ali, Fawad 2 Altunbulak Aksu, Fatma 2 Andruszkiewicz, Ryszard Romuald 2 Barati, Zahra 2 Beliakov, Gleb 2 Bošnjak, Ivica 2 Brachter, Jendrik 2 Cangul, Ismail Naci 2 Cazaran, Jilyana ...and 449 more Authors all top 5 Cited in 124 Serials 60 Communications in Algebra 34 Journal of Algebra and its Applications 33 Semigroup Forum 26 Journal of Algebra 16 Bulletin of the Australian Mathematical Society 12 Journal of Algebraic Combinatorics 11 Discrete Mathematics 11 Open Mathematics 10 Linear Algebra and its Applications 10 Asian-European Journal of Mathematics 9 Journal of Pure and Applied Algebra 9 Graphs and Combinatorics 9 International Journal of Algebra and Computation 8 Bulletin of the Malaysian Mathematical Sciences Society. 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New Series 1 Central European Journal of Mathematics ...and 24 more Serials all top 5 Cited in 34 Fields 280 Combinatorics (05-XX) 225 Group theory and generalizations (20-XX) 161 Associative rings and algebras (16-XX) 32 Information and communication theory, circuits (94-XX) 30 Computer science (68-XX) 27 Commutative algebra (13-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 14 Number theory (11-XX) 14 Nonassociative rings and algebras (17-XX) 7 General algebraic systems (08-XX) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 4 Field theory and polynomials (12-XX) 4 Topological groups, Lie groups (22-XX) 3 Algebraic geometry (14-XX) 3 Category theory; homological algebra (18-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year