## Loday, Jean-Louis

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 Author ID: loday.jean-louis Published as: Loday, Jean-Louis; Loday, J.-L.; Zinbiel, G. W.; Loday, J. L. Homepage: http://www-irma.u-strasbg.fr/~loday/ External Links: MacTutor · MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 83 Publications since 1971, including 5 Books 5 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 40 Co-Authors with 39 Joint Publications 1,051 Co-Co-Authors
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### Co-Authors

 47 single-authored 9 Ronco, María Ofelia 4 Pirashvili, Teimuraz 3 Brown, Ronald 3 Popov, Todor 2 Kassel, Christian 2 Procesi, Claudio 2 Quillen, Daniel Gray 2 Vallette, Bruno 1 Aguiar, Marcelo 1 Atiyah, Michael Francis 1 Bai, Chengming 1 Bass, Hyman 1 Bergeron, Nantel 1 Brown, Ken 1 Casas Miras, José Manuel 1 Chapoton, Frédéric 1 Cuntz, Joachim 1 Dokas, Ioannis 1 Duflot, Jeanne 1 Fiedorowicz, Zbigniew 1 Frabetti, Alessandra 1 Friedlander, Eric Mark 1 Gillet, Henri A. 1 Goichot, François 1 Grayson, Daniel Richard 1 Guin-Walery, Dominique 1 Guo, Li 1 Holtkamp, Ralf 1 Latschev, Janko 1 Lluis-Puebla, Emilio 1 Mazur, Barry 1 Nikolov, Nikolay M. 1 Quillen, Jean 1 Ranicki, Andrew Alexander 1 Schappacher, Norbert 1 Segal, Graeme B. 1 Snaith, Victor Percy 1 Soulé, Christophe 1 Stasheff, James D. 1 Stein, Michael R. 1 Sullivan, Dennis Parnell 1 Tillmann, Ulrike 1 Voronov, Alexander A.
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### Serials

 5 Comptes Rendus de l’Académie des Sciences. Série I 3 Advances in Mathematics 3 Journal of Algebra 3 Georgian Mathematical Journal 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Grundlehren der Mathematischen Wissenschaften 2 Annales de l’Institut Fourier 2 Journal of Pure and Applied Algebra 2 Journal of Algebraic Combinatorics 2 Astérisque 2 Lecture Notes in Mathematics 1 Communications in Algebra 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 Bulgarian Journal of Physics 1 $$K$$-Theory 1 Forum Mathematicum 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Geometric Methods in Modern Physics 1 Bulletin of the American Mathematical Society 1 Contemporary Mathematics 1 Séminaires et Congrès 1 Nankai Series in Pure, Applied Mathematics and Theoretical Physics 1 Journal of $$K$$-Theory
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### Fields

 56 Category theory; homological algebra (18-XX) 38 Nonassociative rings and algebras (17-XX) 30 Associative rings and algebras (16-XX) 30 Algebraic topology (55-XX) 14 $$K$$-theory (19-XX) 9 Group theory and generalizations (20-XX) 9 Manifolds and cell complexes (57-XX) 8 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Quantum theory (81-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 General algebraic systems (08-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

76 Publications have been cited 3,212 times in 2,157 Documents Cited by Year
Loday, Jean-Louis; Vallette, Bruno
2012
A noncommutative version of Lie algebras: Leibniz algebras. (Une version non commutative des algèbres de Lie: les algèbres de Leibniz.) Zbl 0806.55009
Loday, Jean-Louis
1993
Universal enveloping algebras of Leibniz algebras and (co)homology. Zbl 0821.17022
Loday, Jean-Louis; Pirashvili, Teimuraz
1993
Cyclic homology. Zbl 0780.18009
Loday, Jean-Louis
1992
Cyclic homology. 2nd ed. Zbl 0885.18007
Loday, Jean-Louis
1998
Van Kampen theorems for diagrams of spaces. Zbl 0622.55009
Brown, Ronald; Loday, Jean-Louis
1987
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
1984
Hopf algebra of the planar binary trees. Zbl 0926.16032
Loday, Jean-Louis; Ronco, María O.
1998
Spaces with finitely many non-trivial homotopy groups. Zbl 0491.55004
Loday, Jean-Louis
1982
Dialgebras. Zbl 0999.17002
Loday, Jean-Louis
2001
Trialgebras and families of polytopes. Zbl 1065.18007
Loday, Jean-Louis; Ronco, María
2004
Central extensions of Lie algebras. (Extensions centrales d’algèbres de Lie.) Zbl 0485.17006
Kassel, Christian; Loday, Jean-Louis
1982
Opérations sur l’homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras). Zbl 0686.18006
Loday, Jean-Louis
1989
Cup-product for Leibniz cohomology and dual Leibniz algebras. Zbl 0859.17015
Loday, Jean-Louis
1995
Cohomologie et groupe de Steinberg rélatifs. Zbl 0391.20040
Loday, Jean-Louis
1978
K-théorie algébrique et représentations de groupes. Zbl 0362.18014
Loday, Jean-Louis
1976
Realization of the Stasheff polytope. Zbl 1059.52017
Loday, Jean-Louis
2004
On the structure of cofree Hopf algebras. Zbl 1096.16019
Loday, Jean-Louis; Ronco, María
2006
Dialgebras and related operads. Zbl 0970.00010
2001
Order structure on the algebra of permutations and of planar binary trees. Zbl 0998.05013
Loday, Jean-Louis; Ronco, María O.
2002
Leibniz $$n$$-algebras. Zbl 1037.17002
Casas, J. M.; Loday, J.-L.; Pirashvili, T.
2002
Generalized bialgebras and triples of operads. Zbl 1178.18001
Loday, Jean-Louis
2008
Crossed simplicial groups and their associated homology. Zbl 0755.18005
Fiedorowicz, Zbigniew; Loday, Jean-Louis
1991
Aguiar, Marcelo; Loday, Jean-Louis
2004
Excision homotopique en basse dimension. (Homotopical excision in low dimension). Zbl 0573.55011
Brown, Ronald; Loday, Jean-Louis
1984
Cyclic homology and lambda operations. Zbl 0719.19002
Loday, J.-L.; Procesi, C.
1989
Leibniz representations of Lie algebras. Zbl 0855.17018
Loday, Jean-Louis; Pirashvili, Teimuraz
1996
Combinatorial Hopf algebras. Zbl 1217.16033
Loday, Jean-Louis; Ronco, María
2010
Arithmetree. Zbl 1063.16044
Loday, Jean-Louis
2002
On the algebra of quasi-shuffles. Zbl 1126.16029
Loday, Jean-Louis
2007
Homologies diédrale et quaternionique. (Dihedral and quaternionic homology). Zbl 0627.18006
Loday, Jean-Louis
1987
Encyclopedia of types of algebras 2010. Zbl 1351.17001
Zinbiel, G. W.
2012
Algebras with two associative operations (dialgebras). (Algèbres ayant deux opérations associatives (digèbres).) Zbl 0845.16036
Loday, Jean-Louis
1995
Homotopical excision, and Hurewicz theorems, for n-cubes of spaces. Zbl 0584.55012
Brown, Ronald; Loday, Jean-Louis
1987
Cofree Hopf algebras. (Algèbres de Hopf colibres.) Zbl 1060.16039
Loday, Jean-Louis; Ronco, María
2003
Obstruction à l’excision en K-théorie algébrique. Zbl 0461.18007
Guin-Walery, Dominique; Loday, Jean-Louis
1981
The tensor category of linear maps and Leibniz algebras. Zbl 0909.18003
Loday, J. L.; Pirashvili, T.
1998
Splitting associativity and Hopf algebras. (Scindement d’associativité et algèbres de Hopf.) Zbl 1073.16032
Loday, Jean-Louis
2004
Homology of symplectic and orthogonal algebras. Zbl 0716.17019
Loday, Jean-Louis; Procesi, Claudio
1988
On the operad of associative algebras with derivation. Zbl 1237.18007
Loday, Jean-Louis
2010
Loday, Jean-Louis
1996
Hausdorff series, Eulerian idempotents and Hopf algebras. (Série de Hausdorff, idempotents eulériens et algèbres de Hopf.) Zbl 0807.17003
Loday, Jean-Louis
1994
Overview on Leibniz algebras, dialgebras and their homology. Zbl 0893.17001
Loday, Jean-Louis
1997
Algebraic $$K$$-theory and the conjectural Leibniz $$K$$-theory. Zbl 1048.18005
Loday, Jean-Louis
2003
The diagonal of the Stasheff polytope. Zbl 1220.18007
Loday, Jean-Louis
2011
Künneth-style formula for the homology of Leibniz algebras. Zbl 0880.17001
Loday, Jean-Louis
1996
Homotopical syzygies. Zbl 0978.20022
Loday, Jean-Louis
2000
The symmetric operation in a free pre-Lie algebra is magmatic. Zbl 1264.17001
Bergeron, Nantel; Loday, Jean-Louis
2011
Symboles en K-théorie algébrique supérieure. Zbl 0493.18006
Loday, Jean-Louis
1981
Parking functions and triangulation of the associahedron. Zbl 1130.52006
Loday, Jean-Louis
2007
Parastatistics algebra, Young tableaux and the super plactic monoid. Zbl 1165.81029
Loday, Jean-Louis; Popov, Todor
2008
Cyclic homology, a survey. Zbl 0637.16013
Loday, Jean-Louis
1986
Partition eulérienne et opérations en homologie cyclique. (Eulerian partition and operations in cyclic homology). Zbl 0669.13006
Loday, Jean-Louis
1988
On restricted Leibniz algebras. Zbl 1162.17001
Dokas, Ioannis; Loday, Jean-Louis
2006
Higher Witt groups: A survey. Zbl 0356.18016
Loday, J.-L.
1976
Algebraic $$K$$-theory and cyclic homology. Zbl 1286.19004
Loday, Jean-Louis
2013
Comparaison des homologies du groupe linéaire et de son algèbre de Lie. (Comparison of homologies of a linear group and its Lie algebra). Zbl 0619.20025
Loday, Jean-Louis
1987
Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May–June 1995, Hartford, CT, USA/Luminy, France. Zbl 0855.00018
1997
Completing the operadic butterfly. Zbl 1187.18005
Loday, Jean-Louis
2006
Free loop space and homology. Zbl 1386.55011
Loday, Jean-Louis
2015
Cyclic homology and homology of the Lie algebra of matrices. (Homologie cyclique et homologie de l’algèbre de Lie des matrices.) Zbl 0536.17006
Loday, Jean-Louis; Quillen, Daniel
1983
A duality between standard simplices and Stasheff polytopes. (Une dualité entre simplexes standards et polytopes de Stasheff.) Zbl 1010.18007
Loday, Jean-Louis; Ronco, María O.
2001
Higher Whitehead groups and stable homotopy. Zbl 0337.55015
Loday, Jean-Louis
1976
Coassociative magmatic bialgebras and the Fine numbers. Zbl 1175.16027
Holtkamp, Ralf; Loday, Jean-Louis; Ronco, María
2008
Structure multiplicative en K-théorie algébrique. Zbl 0293.18019
Loday, Jean-Louis
1974
Loday, Jean-Louis; Ronco, María
2013
Dichotomy of the addition of natural numbers. Zbl 1284.06007
Loday, Jean-Louis
2012
Inversion of integral series enumerating planar trees. Zbl 1085.05009
Loday, Jean-Louis
2005
Operadic construction of the renormalization group. Zbl 1269.81091
Loday, Jean-Louis; Nikolov, Nikolay M.
2013
Homotopie des espaces de concordances. Zbl 0443.57023
Loday, Jean-Louis
1979
Hopf structures on standard Young tableaux. Zbl 1219.81169
Loday, Jean-Louis; Poppov, Todor
2010
Parametrized braid groups of Chevalley groups. Zbl 1147.20034
Loday, Jean-Louis; Stein, Michael R.
2005
Les matrices monomiales et le groupe de Whitehead $$Wh_2$$. Zbl 0348.55007
Loday, Jean-Louis
1976
On the boundary map $$K_ 3(\Lambda/I) > K_ 2(\Lambda,I)$$. Zbl 0467.18003
Loday, Jean-Louis
1981
From diffeomorphism groups to loop spaces via cyclic homology. Zbl 0928.19001
Loday, Jean-Louis
1998
Multiplicative structures in K-theory. (Structures multiplicatives en K-théorie.) Zbl 0228.55005
Loday, Jean-Louis
1972
Free loop space and homology. Zbl 1386.55011
Loday, Jean-Louis
2015
Algebraic $$K$$-theory and cyclic homology. Zbl 1286.19004
Loday, Jean-Louis
2013
Loday, Jean-Louis; Ronco, María
2013
Operadic construction of the renormalization group. Zbl 1269.81091
Loday, Jean-Louis; Nikolov, Nikolay M.
2013
Loday, Jean-Louis; Vallette, Bruno
2012
Encyclopedia of types of algebras 2010. Zbl 1351.17001
Zinbiel, G. W.
2012
Dichotomy of the addition of natural numbers. Zbl 1284.06007
Loday, Jean-Louis
2012
The diagonal of the Stasheff polytope. Zbl 1220.18007
Loday, Jean-Louis
2011
The symmetric operation in a free pre-Lie algebra is magmatic. Zbl 1264.17001
Bergeron, Nantel; Loday, Jean-Louis
2011
Combinatorial Hopf algebras. Zbl 1217.16033
Loday, Jean-Louis; Ronco, María
2010
On the operad of associative algebras with derivation. Zbl 1237.18007
Loday, Jean-Louis
2010
Hopf structures on standard Young tableaux. Zbl 1219.81169
Loday, Jean-Louis; Poppov, Todor
2010
Generalized bialgebras and triples of operads. Zbl 1178.18001
Loday, Jean-Louis
2008
Parastatistics algebra, Young tableaux and the super plactic monoid. Zbl 1165.81029
Loday, Jean-Louis; Popov, Todor
2008
Coassociative magmatic bialgebras and the Fine numbers. Zbl 1175.16027
Holtkamp, Ralf; Loday, Jean-Louis; Ronco, María
2008
On the algebra of quasi-shuffles. Zbl 1126.16029
Loday, Jean-Louis
2007
Parking functions and triangulation of the associahedron. Zbl 1130.52006
Loday, Jean-Louis
2007
On the structure of cofree Hopf algebras. Zbl 1096.16019
Loday, Jean-Louis; Ronco, María
2006
On restricted Leibniz algebras. Zbl 1162.17001
Dokas, Ioannis; Loday, Jean-Louis
2006
Completing the operadic butterfly. Zbl 1187.18005
Loday, Jean-Louis
2006
Inversion of integral series enumerating planar trees. Zbl 1085.05009
Loday, Jean-Louis
2005
Parametrized braid groups of Chevalley groups. Zbl 1147.20034
Loday, Jean-Louis; Stein, Michael R.
2005
Trialgebras and families of polytopes. Zbl 1065.18007
Loday, Jean-Louis; Ronco, María
2004
Realization of the Stasheff polytope. Zbl 1059.52017
Loday, Jean-Louis
2004
Aguiar, Marcelo; Loday, Jean-Louis
2004
Splitting associativity and Hopf algebras. (Scindement d’associativité et algèbres de Hopf.) Zbl 1073.16032
Loday, Jean-Louis
2004
Cofree Hopf algebras. (Algèbres de Hopf colibres.) Zbl 1060.16039
Loday, Jean-Louis; Ronco, María
2003
Algebraic $$K$$-theory and the conjectural Leibniz $$K$$-theory. Zbl 1048.18005
Loday, Jean-Louis
2003
Order structure on the algebra of permutations and of planar binary trees. Zbl 0998.05013
Loday, Jean-Louis; Ronco, María O.
2002
Leibniz $$n$$-algebras. Zbl 1037.17002
Casas, J. M.; Loday, J.-L.; Pirashvili, T.
2002
Arithmetree. Zbl 1063.16044
Loday, Jean-Louis
2002
Dialgebras. Zbl 0999.17002
Loday, Jean-Louis
2001
Dialgebras and related operads. Zbl 0970.00010
2001
A duality between standard simplices and Stasheff polytopes. (Une dualité entre simplexes standards et polytopes de Stasheff.) Zbl 1010.18007
Loday, Jean-Louis; Ronco, María O.
2001
Homotopical syzygies. Zbl 0978.20022
Loday, Jean-Louis
2000
Cyclic homology. 2nd ed. Zbl 0885.18007
Loday, Jean-Louis
1998
Hopf algebra of the planar binary trees. Zbl 0926.16032
Loday, Jean-Louis; Ronco, María O.
1998
The tensor category of linear maps and Leibniz algebras. Zbl 0909.18003
Loday, J. L.; Pirashvili, T.
1998
From diffeomorphism groups to loop spaces via cyclic homology. Zbl 0928.19001
Loday, Jean-Louis
1998
Overview on Leibniz algebras, dialgebras and their homology. Zbl 0893.17001
Loday, Jean-Louis
1997
Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May–June 1995, Hartford, CT, USA/Luminy, France. Zbl 0855.00018
1997
Leibniz representations of Lie algebras. Zbl 0855.17018
Loday, Jean-Louis; Pirashvili, Teimuraz
1996
Loday, Jean-Louis
1996
Künneth-style formula for the homology of Leibniz algebras. Zbl 0880.17001
Loday, Jean-Louis
1996
Cup-product for Leibniz cohomology and dual Leibniz algebras. Zbl 0859.17015
Loday, Jean-Louis
1995
Algebras with two associative operations (dialgebras). (Algèbres ayant deux opérations associatives (digèbres).) Zbl 0845.16036
Loday, Jean-Louis
1995
Hausdorff series, Eulerian idempotents and Hopf algebras. (Série de Hausdorff, idempotents eulériens et algèbres de Hopf.) Zbl 0807.17003
Loday, Jean-Louis
1994
A noncommutative version of Lie algebras: Leibniz algebras. (Une version non commutative des algèbres de Lie: les algèbres de Leibniz.) Zbl 0806.55009
Loday, Jean-Louis
1993
Universal enveloping algebras of Leibniz algebras and (co)homology. Zbl 0821.17022
Loday, Jean-Louis; Pirashvili, Teimuraz
1993
Cyclic homology. Zbl 0780.18009
Loday, Jean-Louis
1992
Crossed simplicial groups and their associated homology. Zbl 0755.18005
Fiedorowicz, Zbigniew; Loday, Jean-Louis
1991
Opérations sur l’homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras). Zbl 0686.18006
Loday, Jean-Louis
1989
Cyclic homology and lambda operations. Zbl 0719.19002
Loday, J.-L.; Procesi, C.
1989
Homology of symplectic and orthogonal algebras. Zbl 0716.17019
Loday, Jean-Louis; Procesi, Claudio
1988
Partition eulérienne et opérations en homologie cyclique. (Eulerian partition and operations in cyclic homology). Zbl 0669.13006
Loday, Jean-Louis
1988
Van Kampen theorems for diagrams of spaces. Zbl 0622.55009
Brown, Ronald; Loday, Jean-Louis
1987
Homologies diédrale et quaternionique. (Dihedral and quaternionic homology). Zbl 0627.18006
Loday, Jean-Louis
1987
Homotopical excision, and Hurewicz theorems, for n-cubes of spaces. Zbl 0584.55012
Brown, Ronald; Loday, Jean-Louis
1987
Comparaison des homologies du groupe linéaire et de son algèbre de Lie. (Comparison of homologies of a linear group and its Lie algebra). Zbl 0619.20025
Loday, Jean-Louis
1987
Cyclic homology, a survey. Zbl 0637.16013
Loday, Jean-Louis
1986
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
1984
Excision homotopique en basse dimension. (Homotopical excision in low dimension). Zbl 0573.55011
Brown, Ronald; Loday, Jean-Louis
1984
Cyclic homology and homology of the Lie algebra of matrices. (Homologie cyclique et homologie de l’algèbre de Lie des matrices.) Zbl 0536.17006
Loday, Jean-Louis; Quillen, Daniel
1983
Spaces with finitely many non-trivial homotopy groups. Zbl 0491.55004
Loday, Jean-Louis
1982
Central extensions of Lie algebras. (Extensions centrales d’algèbres de Lie.) Zbl 0485.17006
Kassel, Christian; Loday, Jean-Louis
1982
Obstruction à l’excision en K-théorie algébrique. Zbl 0461.18007
Guin-Walery, Dominique; Loday, Jean-Louis
1981
Symboles en K-théorie algébrique supérieure. Zbl 0493.18006
Loday, Jean-Louis
1981
On the boundary map $$K_ 3(\Lambda/I) > K_ 2(\Lambda,I)$$. Zbl 0467.18003
Loday, Jean-Louis
1981
Homotopie des espaces de concordances. Zbl 0443.57023
Loday, Jean-Louis
1979
Cohomologie et groupe de Steinberg rélatifs. Zbl 0391.20040
Loday, Jean-Louis
1978
K-théorie algébrique et représentations de groupes. Zbl 0362.18014
Loday, Jean-Louis
1976
Higher Witt groups: A survey. Zbl 0356.18016
Loday, J.-L.
1976
Higher Whitehead groups and stable homotopy. Zbl 0337.55015
Loday, Jean-Louis
1976
Les matrices monomiales et le groupe de Whitehead $$Wh_2$$. Zbl 0348.55007
Loday, Jean-Louis
1976
Structure multiplicative en K-théorie algébrique. Zbl 0293.18019
Loday, Jean-Louis
1974
Multiplicative structures in K-theory. (Structures multiplicatives en K-théorie.) Zbl 0228.55005
Loday, Jean-Louis
1972
all top 5

### Cited by 1,741 Authors

 61 Ladra González, Manuel 52 Omirov, Bakhrom A. 49 Casas Miras, José Manuel 29 Ellis, Graham J. 27 Khudoyberdiyev, Abror Kh. 27 Zhuchok, Anatolii V. 24 Loday, Jean-Louis 23 Pilaud, Vincent 22 Camacho, Luisa Maria 22 Pirashvili, Teimuraz 21 Foissy, Loïc 21 Guo, Li 19 Bai, Chengming 19 Bremner, Murray R. 19 Novelli, Jean-Christophe 19 Thibon, Jean-Yves 18 Giraudo, Samuele 17 Cortiñas, Guillermo H. 17 Ebrahimi-Fard, Kurusch 17 Khmaladze, Emzar 15 Makhlouf, Abdenacer 15 Rocco, Noraí Romeu 14 Chapoton, Frédéric 14 Dotsenko, Vladimir Viktorovich 14 Ronco, María Ofelia 13 Biyogmam, Guy Roger 13 Inassaridze, Nikoloz 13 Niroomand, Peyman 13 Sheng, Yunhe 12 García-Martínez, Xabier 12 Patras, Frédéric 12 Rakhimov, Isamiddin Sattarovich 12 Vallette, Bruno 12 Weibel, Charles A. 12 Wu, Jie 11 Brown, Ronald 11 Burde, Dietrich 11 Cegarra, Antonio Martínez 11 Donadze, Guram 11 Gao, Xing 11 Salemkar, Ali Reza 11 Wagemann, Friedrich 11 Willwacher, Thomas Hans 10 Dzhumadil’daev, Askar Serkulovich 10 Hivert, Florent 10 Kurdachenko, Leonid Andriĭovych 10 Liu, Dong 10 Manchon, Dominique 10 Mikhaĭlov, Roman Valer’evich 9 Bergeron, Nantel 9 Fialowski, Alice 9 Gómez, José R. 9 Jafari, Seid Hadi 9 Kaĭgorodov, Ivan B. 9 Kassel, Christian 9 Livernet, Muriel 9 Markl, Martin 9 Porter, Timothy 8 Ayupov, Shavkat Abdullaevich 8 de Araujo Bastos, Raimundo jun. 8 Benayadi, Saïd 8 Carey, Alan L. 8 Chen, Xiaojun 8 Datuashvili, Tamar 8 Edalatzadeh, Behrouz 8 Igusa, Kiyoshi 8 Kaledin, Dmitry B. 8 Karimjanov, Ikboljon Abdulazizovich 8 Liu, Zhangju 8 Lodder, Gerald Matthew 8 Mandal, Ashis 8 Moravec, Primož 8 Saha, Ripan 8 Stitzinger, Ernest Lester 8 Turdibaev, Rustam Mirzalievich 8 van der Linden, Tim 7 Aguiar, Marcelo 7 Barnes, Donald W. 7 Calderón Martín, Antonio Jesús 7 Chen, Liangyun 7 Drummond-Cole, Gabriel C. 7 Ginzburg, Victor 7 Gubarev, Vsevolod Yur’evich 7 Guin, Daniel 7 Hu, Naihong 7 Ismailov, Nurlan A. 7 Liu, Jiefeng 7 Madariaga, Sara 7 Nistor, Victor 7 Parvizi, Mohsen 7 Przytycki, Józef H. 7 Remm, Elisabeth 7 Russo, Francesco Giuseppe 7 Subbotin, Igor Yakov 7 Tabuada, Gonçalo 6 Baues, Hans-Joachim 6 Carrasco, Pilar C. 6 Chen, Yuqun 6 Connes, Alain 6 Dolgushev, Vasily A. ...and 1,641 more Authors
all top 5

### Cited in 255 Serials

 191 Journal of Algebra 183 Journal of Pure and Applied Algebra 155 Communications in Algebra 110 Advances in Mathematics 48 Transactions of the American Mathematical Society 45 $$K$$-Theory 38 Journal of Geometry and Physics 38 Algebraic & Geometric Topology 37 Communications in Mathematical Physics 37 Journal of Algebra and its Applications 34 Proceedings of the American Mathematical Society 33 Journal of Algebraic Combinatorics 29 Journal of Homotopy and Related Structures 28 Annales de l’Institut Fourier 26 Letters in Mathematical Physics 25 Journal of Combinatorial Theory. Series A 24 Applied Categorical Structures 23 Linear Algebra and its Applications 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Linear and Multilinear Algebra 20 Journal of Mathematical Physics 20 Inventiones Mathematicae 19 International Journal of Algebra and Computation 19 Journal of Noncommutative Geometry 18 Mathematische Zeitschrift 18 Topology and its Applications 17 Glasgow Mathematical Journal 17 Advances in Applied Mathematics 17 Algebras and Representation Theory 16 Selecta Mathematica. New Series 16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 15 Discrete Mathematics 14 European Journal of Combinatorics 13 Duke Mathematical Journal 13 Georgian Mathematical Journal 12 Cahiers de Topologie et Géométrie Différentielle Catégoriques 12 Algebra Colloquium 12 Journal of Mathematical Sciences (New York) 12 Theory and Applications of Categories 11 Mathematical Notes 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Mathematische Annalen 11 Journal of High Energy Physics 11 Frontiers of Mathematics in China 11 Asian-European Journal of Mathematics 10 Compositio Mathematica 10 Journal of Functional Analysis 10 Semigroup Forum 10 Forum Mathematicum 10 Séminaire Lotharingien de Combinatoire 10 Higher Structures 9 Journal für die Reine und Angewandte Mathematik 9 Journal of the American Mathematical Society 9 Documenta Mathematica 9 Journal of Group Theory 9 Algebra and Discrete Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Archiv der Mathematik 8 Journal of Symbolic Computation 8 Differential Geometry and its Applications 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Bulletin of the Australian Mathematical Society 7 Israel Journal of Mathematics 7 Ukrainian Mathematical Journal 7 Algebra Universalis 7 Manuscripta Mathematica 7 Geometry & Topology 6 Bulletin de la Société Mathématique de France 6 Memoirs of the American Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Annales Mathématiques Blaise Pascal 6 The Electronic Journal of Combinatorics 6 Journal of Lie Theory 6 Acta Mathematica Sinica. English Series 6 Hacettepe Journal of Mathematics and Statistics 6 Journal of $$K$$-Theory 6 Journal de l’École Polytechnique – Mathématiques 5 Indian Journal of Pure & Applied Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Colloquium Mathematicum 5 Siberian Mathematical Journal 5 Bulletin of the American Mathematical Society. New Series 5 Turkish Journal of Mathematics 5 Bulletin des Sciences Mathématiques 5 Annals of Combinatorics 5 Communications in Contemporary Mathematics 5 International Journal of Geometric Methods in Modern Physics 5 Mediterranean Journal of Mathematics 5 Afrika Matematika 5 Communications in Mathematics 5 Open Mathematics 5 Algebraic Combinatorics 4 Nuclear Physics. B 4 Reports on Mathematical Physics 4 Publications Mathématiques 4 Monatshefte für Mathematik 4 Quaestiones Mathematicae 4 Discrete & Computational Geometry 4 Indagationes Mathematicae. New Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 155 more Serials
all top 5

### Cited in 51 Fields

 787 Nonassociative rings and algebras (17-XX) 715 Category theory; homological algebra (18-XX) 605 Associative rings and algebras (16-XX) 380 Group theory and generalizations (20-XX) 349 Algebraic topology (55-XX) 248 Combinatorics (05-XX) 246 $$K$$-theory (19-XX) 161 Algebraic geometry (14-XX) 133 Commutative algebra (13-XX) 125 Differential geometry (53-XX) 110 Manifolds and cell complexes (57-XX) 99 Quantum theory (81-XX) 97 Global analysis, analysis on manifolds (58-XX) 87 Functional analysis (46-XX) 62 Order, lattices, ordered algebraic structures (06-XX) 52 General algebraic systems (08-XX) 52 Convex and discrete geometry (52-XX) 36 Number theory (11-XX) 33 Topological groups, Lie groups (22-XX) 30 Computer science (68-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Operator theory (47-XX) 16 Probability theory and stochastic processes (60-XX) 15 Relativity and gravitational theory (83-XX) 14 Mathematical logic and foundations (03-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Mechanics of particles and systems (70-XX) 9 Field theory and polynomials (12-XX) 7 General topology (54-XX) 6 History and biography (01-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

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