Edit Profile (opens in new tab) Butler, Michael C. R. Co-Author Distance Author ID: butler.michael-c-r Published as: Butler, M. C. R.; Butler, Michael C. R. Documents Indexed: 34 Publications since 1954 Co-Authors: 8 Co-Authors with 14 Joint Publications 144 Co-Co-Authors all top 5 Co-Authors 18 single-authored 8 Brenner, Sheila 3 King, Alastair D. 2 Ghezelbash, Amir Masoud 1 Burt, W. L. 1 Campbell, John Maxwell 1 Horrocks, Geoffrey 1 Kovács, László György 1 Massaeli, Erfan 1 Motaharfar, Meysam 1 Ringel, Claus Michael 1 Shahzamanian, Mostafa all top 5 Serials 5 Proceedings of the London Mathematical Society. Third Series 5 Journal of the London Mathematical Society 2 Journal of the London Mathematical Society. Second Series 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Journal of Algebra 1 Mathematische Annalen 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Linear Algebra and its Applications 1 Algebras and Representation Theory 1 Journal of the Australian Mathematical Society all top 5 Fields 20 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 883 times in 815 Documents Cited by ▼ Year ▼ Auslander-Reiten sequences with few middle terms and applications to string algebras. Zbl 0612.16013 Butler, M. C. R.; Ringel, Claus Michael 275 1987 Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors. Zbl 0446.16031 Brenner, Sheila; Butler, M. C. R. 176 1980 Periodic algebras which are almost Koszul. Zbl 1056.16003 Brenner, Sheila; Butler, Michael C. R.; King, Alastair D. 65 2002 A class of torsion-free Abelian groups of finite rank. Zbl 0131.02501 Butler, M. C. R. 63 1965 Classes of extensions and resolutions. Zbl 0099.25902 Butler, M. C. R.; Horrocks, G. 50 1961 Minimal resolutions of algebras. Zbl 0926.16006 Butler, M. C. R.; King, A. D. 47 1999 Torsion-free modules and diagrams of vector spaces. Zbl 0179.32603 Butler, M. C. R. 21 1968 On locally free torsion-free rings of finite rank. Zbl 0155.07202 Butler, M. C. R. 21 1968 The equivalence of certain functors occurring in the representation theory of Artin algebras and species. Zbl 0351.16011 Brenner, Sheila; Butler, M. C. R. 20 1976 Grothendieck groups and almost split sequences. Zbl 0535.18010 Butler, M. C. R. 20 1981 Endomorphism rings of vector spaces and torsion free Abelian groups. Zbl 0127.25802 Brenner, S.; Butler, M. C. R. 19 1965 Almost split sequences of bocses. Zbl 0777.16009 Burt, W. L.; Butler, M. C. R. 14 1991 The construction of almost split sequences. III: Modules over two classes of tame local algebras. Zbl 0435.16016 Butler, M. C. R.; Shahzamanian, M. 11 1980 On infinite rank integral representations of groups and orders of finite lattice type. Zbl 1065.16013 Butler, M. C. R.; Campbell, J. M.; Kovács, L. G. 9 2004 The irreducible factors of \(f(x^m)\) over a finite field. Zbl 0064.24904 Butler, M. C. R. 9 1955 The 2-adic representations of Klein’s four group. Zbl 0302.20017 Butler, M. C. R. 8 1974 On the reducibility of polynomials over a finite field. Zbl 0056.01705 Butler, M. C. R. 8 1954 Some almost split sequences in torsionfree Abelian group theory. Zbl 0653.20058 Butler, M. C. R. 7 1987 The construction of almost split sequences. Zbl 0443.16018 Butler, M. C. R. 7 1980 On the classification of local integral representations of finite abelian p-groups. Zbl 0314.20006 Butler, M. C. R. 5 1975 The construction of almost split sequences. II: Lattices over orders. Zbl 0435.16015 Butler, M. C. R. 5 1979 Relations between diagrams of modules. Zbl 0214.05701 Butler, M. C. R. 4 1971 On diagrams of vector spaces. Zbl 0177.05902 Brenner, Sheila; Butler, M. C. R. 4 1969 On the structure of modules over certain augmented algebras. Zbl 0217.06301 Butler, M. C. R. 3 1970 Wild subquivers of the Auslander-Reiten quiver of a tame algebra. Zbl 0937.16023 Brenner, Sheila; Butler, Michael C. R. 3 1998 A Galois-theoretic description of certain quasi-endomorphism rings. Zbl 0312.16026 Butler, M. C. R. 1 1974 Reducibility criteria for polynomials of two general classes. Zbl 0084.02102 Butler, M. C. R. 1 1957 Irreducible maps and bilinear forms. Zbl 1061.16028 Brenner, Sheila; Butler, M. C. R.; King, Alastair D. 1 2003 Classes of extensions of torsion-free modules. Zbl 0169.02503 Butler, M. C. R. 1 1969 The syzygy theorem for monomial algebras. Zbl 0924.16003 Butler, M. C. R. 1 1998 Minimal surfaces and generalized Einstein-Maxwell-Dilaton theory. Zbl 1414.83075 Butler, M.; Ghezelbash, A. M. 1 2019 Minimal surfaces and generalized Einstein-Maxwell-Dilaton theory. Zbl 1414.83075 Butler, M.; Ghezelbash, A. M. 1 2019 On infinite rank integral representations of groups and orders of finite lattice type. Zbl 1065.16013 Butler, M. C. R.; Campbell, J. M.; Kovács, L. G. 9 2004 Irreducible maps and bilinear forms. Zbl 1061.16028 Brenner, Sheila; Butler, M. C. R.; King, Alastair D. 1 2003 Periodic algebras which are almost Koszul. Zbl 1056.16003 Brenner, Sheila; Butler, Michael C. R.; King, Alastair D. 65 2002 Minimal resolutions of algebras. Zbl 0926.16006 Butler, M. C. R.; King, A. D. 47 1999 Wild subquivers of the Auslander-Reiten quiver of a tame algebra. Zbl 0937.16023 Brenner, Sheila; Butler, Michael C. R. 3 1998 The syzygy theorem for monomial algebras. Zbl 0924.16003 Butler, M. C. R. 1 1998 Almost split sequences of bocses. Zbl 0777.16009 Burt, W. L.; Butler, M. C. R. 14 1991 Auslander-Reiten sequences with few middle terms and applications to string algebras. Zbl 0612.16013 Butler, M. C. R.; Ringel, Claus Michael 275 1987 Some almost split sequences in torsionfree Abelian group theory. Zbl 0653.20058 Butler, M. C. R. 7 1987 Grothendieck groups and almost split sequences. Zbl 0535.18010 Butler, M. C. R. 20 1981 Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors. Zbl 0446.16031 Brenner, Sheila; Butler, M. C. R. 176 1980 The construction of almost split sequences. III: Modules over two classes of tame local algebras. Zbl 0435.16016 Butler, M. C. R.; Shahzamanian, M. 11 1980 The construction of almost split sequences. Zbl 0443.16018 Butler, M. C. R. 7 1980 The construction of almost split sequences. II: Lattices over orders. Zbl 0435.16015 Butler, M. C. R. 5 1979 The equivalence of certain functors occurring in the representation theory of Artin algebras and species. Zbl 0351.16011 Brenner, Sheila; Butler, M. C. R. 20 1976 On the classification of local integral representations of finite abelian p-groups. Zbl 0314.20006 Butler, M. C. R. 5 1975 The 2-adic representations of Klein’s four group. Zbl 0302.20017 Butler, M. C. R. 8 1974 A Galois-theoretic description of certain quasi-endomorphism rings. Zbl 0312.16026 Butler, M. C. R. 1 1974 Relations between diagrams of modules. Zbl 0214.05701 Butler, M. C. R. 4 1971 On the structure of modules over certain augmented algebras. Zbl 0217.06301 Butler, M. C. R. 3 1970 On diagrams of vector spaces. Zbl 0177.05902 Brenner, Sheila; Butler, M. C. R. 4 1969 Classes of extensions of torsion-free modules. Zbl 0169.02503 Butler, M. C. R. 1 1969 Torsion-free modules and diagrams of vector spaces. Zbl 0179.32603 Butler, M. C. R. 21 1968 On locally free torsion-free rings of finite rank. Zbl 0155.07202 Butler, M. C. R. 21 1968 A class of torsion-free Abelian groups of finite rank. Zbl 0131.02501 Butler, M. C. R. 63 1965 Endomorphism rings of vector spaces and torsion free Abelian groups. Zbl 0127.25802 Brenner, S.; Butler, M. C. R. 19 1965 Classes of extensions and resolutions. Zbl 0099.25902 Butler, M. C. R.; Horrocks, G. 50 1961 Reducibility criteria for polynomials of two general classes. Zbl 0084.02102 Butler, M. C. R. 1 1957 The irreducible factors of \(f(x^m)\) over a finite field. Zbl 0064.24904 Butler, M. C. R. 9 1955 On the reducibility of polynomials over a finite field. Zbl 0056.01705 Butler, M. C. R. 8 1954 all cited Publications top 5 cited Publications all top 5 Cited by 692 Authors 24 Skowroński, Andrzej 17 Göbel, Rüdiger 16 Erdmann, Karin 15 Schroll, Sibylle 14 Arnold, David M. 14 Dugas, Manfred H. 13 Bleher, Frauke M. 12 Goeters, Pat 11 Wei, Jiaqun 10 Crawley-Boevey, William 10 Plamondon, Pierre-Guy 10 Puninski, Gena 10 Vélez-Marulanda, José A. 10 Vinsonhaler, Charles I. 9 Coelho, Flávio Ulhoa 9 Geiss, Christof 9 Prest, Mike 9 Rangaswamy, Kulumani M. 9 Xi, Changchang 8 Buan, Aslak Bakke 8 Fuchs, László 8 Giraldo, Hernán 8 Guo, Jinyun 8 Lu, Jiafeng 8 Schröer, Jan 8 Yao, Hailou 7 Assem, Ibrahim 7 Bobiński, Grzegorz 7 Brüstle, Thomas 7 Chaio, Claudia 7 Giovannitti, Anthony J. 7 Green, Edward L. 7 Reiten, Idun 7 Ringel, Claus Michael 7 Saorín, Manuel 6 Bautista, Raymundo 6 Bican, Ladislav 6 de la Peña, José Antonio 6 Farnsteiner, Rolf 6 Hanson, Eric J. 6 Huang, Zhaoyong 6 Iyama, Osamu 6 Krause, Henning 6 Pilaud, Vincent 6 Pogorzały, Zygmunt 6 Schiffler, Ralf 6 Toffalori, Carlo 6 Tonolo, Alberto 6 Xu, Yunge 6 Zhang, Xiaojin 6 Zhu, Bin 5 Auslander, Maurice 5 Brenner, Sheila 5 Grant, Joseph 5 Han, Yang 5 Holm, Thorsten 5 Lu, Ming 5 Malicki, Piotr 5 May, Warren 5 Palu, Yann 5 Platzeck, María Inés 5 Pressland, Matthew 5 Simson, Daniel 5 Trepode, Sonia Elisabet 4 Albrecht, Ulrich F. 4 Amiot, Claire 4 Antipov, Mikhaĭl Aleksandrovich 4 Baur, Karin 4 Buckner, Joshua 4 Canakci, Ilke 4 Faticoni, Theodore G. 4 Igusa, Kiyoshi 4 Jaworska, Alicja 4 Külshammer, Julian 4 Leclerc, Bernard 4 Lin, Yanan 4 Mao, Lixin 4 Metelli, Claudia 4 Mikhalëv, Aleksandr Vasil’evich 4 Serhiyenko, Khrystyna 4 Solberg, Øyvind 4 Treffinger, Hipolito 4 Ullery, William 4 Wickless, William J. 4 Zacharia, Dan 4 Zhang, Pu 4 Zhao, Tiwei 4 Zhou, Panyue 4 Zhou, Yu 3 Abe, Hiroki 3 Aihara, Takuma 3 Barnard, Emily 3 Bazzoni, Silvana 3 Bocklandt, Raf 3 Cecotti, Sergio 3 De Vivo, Clorinda 3 Drozd, Yuriĭ Anatoliĭovych 3 Duffield, Drew Damien 3 Dugas, Alex S. 3 Enomoto, Haruhisa ...and 592 more Authors all top 5 Cited in 125 Serials 150 Journal of Algebra 89 Communications in Algebra 68 Journal of Pure and Applied Algebra 56 Algebras and Representation Theory 32 Mathematische Zeitschrift 28 Advances in Mathematics 24 Transactions of the American Mathematical Society 21 Proceedings of the American Mathematical Society 14 Journal of Algebra and its Applications 13 Archiv der Mathematik 10 Glasgow Mathematical Journal 9 Israel Journal of Mathematics 8 Rocky Mountain Journal of Mathematics 8 Nagoya Mathematical Journal 8 Frontiers of Mathematics in China 7 Journal of Algebraic Combinatorics 7 Selecta Mathematica. New Series 7 Central European Journal of Mathematics 7 Science China. Mathematics 6 Communications in Mathematical Physics 6 Indian Journal of Pure & Applied Mathematics 6 Mathematical Notes 6 Czechoslovak Mathematical Journal 6 Proceedings of the London Mathematical Society. Third Series 6 Rendiconti del Seminario Matematico della Università di Padova 6 Applied Categorical Structures 6 Acta Mathematica Sinica. English Series 6 São Paulo Journal of Mathematical Sciences 5 Bulletin of the London Mathematical Society 5 Colloquium Mathematicum 5 Journal of Soviet Mathematics 5 Bulletin of the Iranian Mathematical Society 5 Science in China. Series A 5 Journal of Mathematical Sciences (New York) 4 Inventiones Mathematicae 4 Annals of Pure and Applied Logic 4 International Journal of Algebra and Computation 4 Linear Algebra and its Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Beiträge zur Algebra und Geometrie 3 Canadian Journal of Mathematics 3 Compositio Mathematica 3 Mathematische Annalen 3 Results in Mathematics 3 Journal of Symbolic Computation 3 Revista Matemática Iberoamericana 3 IMRN. International Mathematics Research Notices 3 Journal of High Energy Physics 3 Journal of the Australian Mathematical Society 3 Algebra & Number Theory 3 Algebraic Combinatorics 2 Periodica Mathematica Hungarica 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Acta Mathematica Hungarica 2 Algebra Colloquium 2 Bulletin des Sciences Mathématiques 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Séminaire Lotharingien de Combinatoire 2 Algebra and Discrete Mathematics 2 Journal of Combinatorial Algebra 1 International Journal of Modern Physics A 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Arkiv för Matematik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Algebra and Logic 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 The Journal of Symbolic Logic 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Glasnik Matematički. Serija III 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Computational Complexity 1 St. Petersburg Mathematical Journal ...and 25 more Serials all top 5 Cited in 31 Fields 646 Associative rings and algebras (16-XX) 211 Category theory; homological algebra (18-XX) 135 Group theory and generalizations (20-XX) 102 Commutative algebra (13-XX) 52 Algebraic geometry (14-XX) 34 Combinatorics (05-XX) 34 Nonassociative rings and algebras (17-XX) 28 Mathematical logic and foundations (03-XX) 25 Number theory (11-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Algebraic topology (55-XX) 9 Quantum theory (81-XX) 8 \(K\)-theory (19-XX) 8 Computer science (68-XX) 6 Field theory and polynomials (12-XX) 6 Convex and discrete geometry (52-XX) 5 History and biography (01-XX) 5 Manifolds and cell complexes (57-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Functional analysis (46-XX) 2 General algebraic systems (08-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year