Edit Profile (opens in new tab) Avramov, Luchezar L. Co-Author Distance Author ID: avramov.luchezar-l Published as: Avramov, Luchezar L.; Avramov, L. L.; Avramov, Luchezar; Avramov, Luchézar L.; Avramov, Lacezar more...less External Links: MGP · Wikidata · IdRef Documents Indexed: 115 Publications since 1971, including 2 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 40 Reviews Co-Authors: 52 Co-Authors with 80 Joint Publications 1,311 Co-Co-Authors all top 5 Co-Authors 42 single-authored 26 Iyengar, Srikanth B. 10 Buchweitz, Ragnar-Olaf 10 Foxby, Hans-Bjørn 4 Halperin, Stephen 4 Miller, Claudia M. 4 Şega, Liana M. 3 Aramova, Annetta G. 3 Herzog, Jürgen 3 Lescot, Jack 3 Lipman, Joseph 3 Peeva, Irena V. 2 Conca, Aldo 2 Gasharov, Vesselin N. 2 Golod, Evgeniĭ Solomonovich 2 Green, Mark Lee 2 Hochster, Melvin 2 Huneke, Craig L. 2 Levin, Gerson L. 2 Nasseh, Saeed 2 Sather-Wagstaff, Keri 2 Smith, Karen E. 2 Sturmfels, Bernd 2 Yang, Zheng 1 Achilles, Rüdiger 1 Ananthnarayan, Hariharan 1 Bonacho Dos Anjos Henriques, Inês 1 Borek, Adam 1 Briggs, Benjamin 1 Christensen, J. Daniel 1 Dwyer, William G. 1 Eisenbud, David 1 Félix, Yves 1 Grayson, Daniel Richard 1 Herzog, Bernd 1 Kustin, Andrew R. 1 Letz, Janina C. 1 Lowen, Wendy 1 Mandell, Michael A. 1 Martsinkovsky, Alex 1 Moore, W. Frank 1 Morales, Marcel 1 Nayak, Suresh 1 Neeman, Amnon 1 Polini, Claudia 1 Sally, Judith D. 1 Seceleanu, Alexandra 1 Shipley, Brooke E. 1 Strogalov, S. S. 1 Sun, Li-Chuan 1 Tchakerian, Kerope B. 1 Todorov, Andrey N. 1 Veliche, Oana 1 Vigué-Poirrier, Micheline 1 Yao, Yongwei all top 5 Serials 10 Journal of Algebra 6 Journal of Pure and Applied Algebra 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Mathematische Annalen 4 American Journal of Mathematics 4 Mathematical Research Letters 3 Transactions of the American Mathematical Society 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Journal für die Reine und Angewandte Mathematik 2 Mathematics of the USSR. Izvestiya 2 Proceedings of the London Mathematical Society. Third Series 2 Bulletin of the American Mathematical Society. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Homology, Homotopy and Applications 2 Contemporary Mathematics 2 Mathematical Sciences Research Institute Publications 2 Algebra & Number Theory 2 Journal of Commutative Algebra 1 Communications in Algebra 1 Mathematical Notes 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics. Doklady 1 Topology 1 PLISKA. Studia Mathematica Bulgarica 1 IMRN. International Mathematics Research Notices 1 Serdica 1 Journal of Algebraic Geometry 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Oberwolfach Reports 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Pure and Applied Mathematics Quarterly 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs all top 5 Fields 116 Commutative algebra (13-XX) 27 Algebraic geometry (14-XX) 26 Associative rings and algebras (16-XX) 21 Algebraic topology (55-XX) 14 Category theory; homological algebra (18-XX) 6 General and overarching topics; collections (00-XX) 6 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 2,384 times in 1,294 Documents Cited by ▼ Year ▼ Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Zbl 1047.16002 Avramov, Luchezar L.; Martsinkovsky, Alex 208 2002 Homological dimensions of unbounded complexes. Zbl 0737.16002 Avramov, Luchezar L.; Foxby, Hans-Bjørn 179 1991 Infinite free resolutions. Zbl 0934.13008 Avramov, Luchezar L. 161 1998 Complete intersection dimension. Zbl 0918.13008 Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 121 1997 Support varieties and cohomology over complete intersections. Zbl 0999.13008 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 113 2000 Modules of finite virtual projective dimension. Zbl 0677.13004 Avramov, L. L. 85 1989 Ring homomorphisms and finite Gorenstein dimension. Zbl 0901.13011 Avramov, Luchezar L.; Foxby, Hans-Bjørn 84 1997 Poincaré series of modules over local rings of small embedding codepth or small linking number. Zbl 0648.13008 Avramov, Luchezar L.; Kustin, Andrew R.; Miller, Matthew 60 1988 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014 Avramov, Lacezar; Herzog, Jürgen 47 1980 Complete intersections and symmetric algebras. Zbl 0516.13001 Avramov, Luchezar L. 45 1981 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011 Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 45 2000 Structure of local homomorphisms. Zbl 0798.13002 Avramov, Luchezar L.; Foxby, Hans-Bjørn; Herzog, Bernd 45 1994 Homology of perfect complexes. Zbl 1186.13006 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 44 2010 Small homomorphisms of local rings. Zbl 0395.13005 Avramov, Luchezar L. 42 1978 Locally Gorenstein homomorphisms. Zbl 0769.13007 Avramov, Luchezar L.; Foxby, Hans-Bjørn 41 1992 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010 Avramov, Luchezar; Halperin, Stephen 39 1986 Homological asymptotics of modules over local rings. Zbl 0788.18010 Avramov, Luchezar L. 35 1989 Regularity of modules over a Koszul algebra. Zbl 0770.13006 Avramov, Luchezar L.; Eisenbud, David 32 1992 Obstructions to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13006 Avramov, Luchezar L. 32 1981 Local algebra and rational homotopy. Zbl 0552.13003 Avramov, Luchezar L. 30 1984 Maximal Cohen-Macaulay modules and Tate cohomology. With appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar and Janina C. Letz. Zbl 1505.13002 Buchweitz, Ragnar-Olaf 29 2021 Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa. Zbl 1087.13010 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Şega, Liana M. 28 2005 Subadditivity of syzygies of Koszul algebras. Zbl 1333.13021 Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 28 2015 Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology. Zbl 0968.13007 Avramov, Luchezar L. 27 1999 Homology over local homomorphisms. Zbl 1102.13011 Avramov, Luchezar L.; Iyengar, Srikanth; Miller, Claudia 27 2006 Connected sums of Gorenstein local rings. Zbl 1271.13047 Ananthnarayan, H.; Avramov, Luchezar L.; Moore, W. Frank 27 2012 Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017 Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph 25 2010 Finite regularity and Koszul algebras. Zbl 1053.13500 Avramov, Luchezar L.; Peeva, Irena 25 2001 Free resolutions over short local rings. Zbl 1153.13011 Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 25 2008 Constructing modules with prescribed cohomological support. Zbl 1121.13014 Avramov, Luchezar L.; Iyengar, Srikanth B. 24 2007 Homological algebra modulo a regular sequence with special attention to codimension two. Zbl 1011.13007 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 24 2000 Free resolutions over commutative Koszul algebras. Zbl 1231.13012 Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 23 2010 Cohomology operators defined by a deformation. Zbl 0915.13009 Avramov, Luchezar L.; Sun, Li-Chuan 23 1998 Factoring out the socle of a Gorenstein ring. Zbl 0407.13018 Levin, Gerson L.; Avramov, Luchezar L. 23 1978 Hochschild homology criteria for smoothness. Zbl 0755.13006 Avramov, Luchezar L.; Vigué-Poirrier, Micheline 22 1992 A cohomological study of local rings of embedding codepth 3. Zbl 1259.13010 Avramov, Luchezar L. 22 2012 Stable cohomology over local rings. Zbl 1127.13012 Avramov, Luchezar L.; Veliche, Oana 21 2007 Homology over trivial extensions of commutative DG algebras. Zbl 1452.13019 Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean 21 2019 Flat morphisms of complete intersections. Zbl 0334.13009 Avramov, L. L. 19 1975 Class rank of differential modules. Zbl 1153.13010 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth 19 2007 Homology algebra of the Koszul complex of a local Gorenstein ring. Zbl 0222.13014 Avramov, L. L.; Golod, E. S. 18 1971 Homology of local flat extensions and complete intersection defects. Zbl 0333.13011 Avramov, Luchezar L. 18 1977 Golod homomorphisms. Zbl 0589.13004 Avramov, Luchezar L. 18 1986 Reduction of derived Hochschild functors over commutative algebras and schemes. Zbl 1183.13021 Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph; Nayak, Suresh 17 2010 Cohen-Macaulay properties of ring homomorphisms. Zbl 0935.13008 Avramov, Luchezar L.; Foxby, Hans-Bjørn 16 1998 Quasi-complete intersection homomorphisms. Zbl 1310.13020 Avramov, Luchezar L.; Bonacho Dos Anjos Henriques, Inês; Şega, Liana M. 16 2013 Lower bounds of Betti numbers. Zbl 0786.13004 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 15 1993 Über die Homologiealgebra des Koszulschen Komplexes eines lokalen Gorenstein-Ringes. Zbl 0213.04904 Avramov, L. L.; Golod, E. S. 14 1971 Modules with extremal resolutions. Zbl 0867.13003 Avramov, Luchezar L. 14 1996 Local rings over which all modules have rational Poincaré series. Zbl 0794.13010 Avramov, Luchezar L. 14 1994 Bass series of local ring homomorphisms of finite flat dimension. Zbl 0770.13007 Avramov, Luchezar L.; Foxby, Hans-Bjørn; Lescot, Jack 13 1993 Homological dimensions and related invariants of modules over local rings. Zbl 1086.16504 Avramov, Luchezar L. 12 2002 Jacobian criteria for complete intersections. The graded case. Zbl 0813.13024 Avramov, Luchezar L.; Herzog, Jürgen 12 1994 Über die Hopfsche Algebra eines lokalen Ringes. Zbl 0295.13005 Avramov, L. L. 11 1974 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007 Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 11 1985 A class of factorial domains. Zbl 0443.13009 Avramov, Luchezar L. 11 1979 Homological invariants of modules over contracting endomorphisms. Zbl 1241.13013 Avramov, Luchezar L.; Hochster, Melvin; Iyengar, Srikanth B.; Yao, Yongwei 10 2012 Free Lie subalgebras of the cohomology of local rings. Zbl 0516.13022 Avramov, Luchezar L. 9 1982 Reflexivity and rigidity for complexes. II: Schemes. Zbl 1246.14005 Avramov, Luchezar; Iyengar, Srikanth B.; Lipman, Joseph 9 2011 Frobenius powers of complete intersections. Zbl 1034.13006 Avramov, Luchezar L.; Miller, Claudia 9 2001 Gaps in Hochschild cohomology imply smoothness for commutative algebras. Zbl 1101.13018 Avramov, Luchezar L.; Iyengar, Srikanth 9 2005 Laurent coefficients and Ext of finite graded modules. Zbl 0869.13007 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Sally, Judith D. 9 1997 Singularities of quotients by vector fields in characteristic \(p\). Zbl 0566.14001 Aramova, Annetta G.; Avramov, Luchezar L. 8 1986 Gorenstein algebras and Hochschild cohomology. Zbl 1245.13011 Avramov, Luchezar L.; Iyengar, Srikanth B. 8 2008 On the Hopf algebra of a local ring. Zbl 0299.13011 Avramov, L. L. 8 1975 Gorenstein local homomorphisms. Zbl 0712.13006 Avramov, Luchezar L.; Foxby, Hans-Bjørn 8 1990 Cohomology over complete intersections via exterior algebras. Zbl 1211.13006 Avramov, Luchezar L.; Iyengar, Srikanth B. 8 2010 On the non-vanishing of cotangent cohomology. Zbl 0624.13013 Avramov, Luchezar; Halperin, Stephen 7 1987 Pseudo-reflection group actions on local rings. Zbl 0488.13008 Avramov, Luchezar L. 6 1982 Descente des déviations par homomorphismes locaux et generation des ideaux de dimension projective finie. Zbl 0509.13008 Avramov, Luchezar 6 1982 Poincaré series of almost complete intersections of embedding dimension three. Zbl 0516.13021 Avramov, Luchezar L. 6 1981 A periodic module of infinite virtual projective dimension. Zbl 0694.13007 Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 6 1989 Problems on infinite free resolutions. Zbl 0778.13010 Avramov, Luchezar L. 6 1992 Grothendieck’s localization problem. Zbl 0804.13006 Avramov, Luchezar L.; Foxby, Hans-Bjørn 6 1994 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027 Achilles, Ruediger; Avramov, Luchezar L. 5 1982 Resolutions and cohomology over complete intersections. Zbl 0994.13006 Avramov, Luchezar L.; Grayson, Daniel R. 5 2002 André-Quillen homology of algebra retracts. Zbl 1079.13503 Avramov, Luchezar L.; Iyengar, Srikanth 5 2003 Finite generation of Hochschild homology algebras. Zbl 0966.13009 Avramov, Luchezar L.; Iyengar, Srikanth 4 2000 Torsion in loop space homology. Zbl 0594.55007 Avramov, Luchezar L. 4 1986 Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms. Zbl 1044.13006 Avramov, Luchezar L.; Iyengar, Srikanth 4 2002 (Contravariant) Koszul duality for DG algebras. Zbl 1319.16013 Avramov, Luchezar L. 4 2013 Séries de Bass des homomorphismes locaux de Tor-dimension finie. (Bass series of local ring homomorphisms of finite flat dimension). Zbl 0687.13009 Avramov, Luchézar L.; Foxby, Hans-Bjørn; Lescot, Jack 3 1989 Bass numbers and Golod rings. Zbl 0509.13009 Avramov, Luchezar L.; Lescot, Jack 3 1982 Local rings of finite simplicial dimension. Zbl 0552.13005 Avramov, Luchezar L. 3 1984 Espaces de Golod. (Golod spaces). Zbl 0725.55008 Avramov, L. L.; Félix, Y. 3 1990 Homotopy Lie algebras and Poincaré series of algebras with monomial relations. Zbl 1031.13006 Avramov, Luchezar L. 3 2002 Persistence of homology over commutative Noetherian rings. Zbl 1496.13024 Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Keri 3 2022 Symmetric algebras of modules of projective dimension one. Zbl 0516.13002 Avramov, Luchezar L. 2 1981 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009 Avramov, Luchezar L.; Halperin, Stephen 2 1984 Short Koszul modules. Zbl 1237.13025 Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 2 2010 On the homology of a tensor product of local rings. Zbl 0324.13016 Avramov, L. L. 2 1976 Locally complete intersection homomorphisms and vanishing of André- Quillen homology. Zbl 0820.13012 Avramov, Luchezar L. 2 1994 Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731-1781]. Zbl 1200.13020 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 2 2010 When do the symmetric tensors of a commutative algebra form a Frobenius algebra? Zbl 0497.16005 Aramova, Annetta G.; Avramov, Luchezar L. 1 1982 Differential graded models for local rings. Zbl 0509.13010 Avramov, Luchezar L. 1 1981 Invariants d’un groupe fini engendre par des pseudo-reflexions, operant sur un anneau local. Zbl 0516.13005 Avramov, Luchezar L. 1 1982 Obstructions to the existence of a multiplicative structure on minimal resolutions. Zbl 0542.13007 Avramov, L. L. 1 1983 Über Gorensteinsche Moduln. Zbl 0239.13015 Avramov, L. L.; Strogalov, S. S.; Todorov, A. N. 1 1972 On the homology of the tensor product of local rings. Zbl 0295.13006 Avramov, L. L. 1 1975 Sur la croissance des nombres de Betti d’un anneau local. Zbl 0425.13009 Avramov, Luchezar 1 1979 Persistence of homology over commutative Noetherian rings. Zbl 1496.13024 Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Keri 3 2022 Maximal Cohen-Macaulay modules and Tate cohomology. With appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar and Janina C. Letz. Zbl 1505.13002 Buchweitz, Ragnar-Olaf 29 2021 Homology over trivial extensions of commutative DG algebras. Zbl 1452.13019 Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean 21 2019 Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra. Zbl 1470.13032 Avramov, Luchezar L.; Iyengar, Srikanth B.; Neeman, Amnon 1 2018 Betti sequences over standard graded commutative algebras with two relations. Zbl 1406.13010 Avramov, Luchezar L.; Yang, Zheng 1 2017 Subadditivity of syzygies of Koszul algebras. Zbl 1333.13021 Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 28 2015 Quasi-complete intersection homomorphisms. Zbl 1310.13020 Avramov, Luchezar L.; Bonacho Dos Anjos Henriques, Inês; Şega, Liana M. 16 2013 (Contravariant) Koszul duality for DG algebras. Zbl 1319.16013 Avramov, Luchezar L. 4 2013 Bass numbers over local rings via stable cohomology. Zbl 1267.13030 Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Detecting flatness over smooth bases. Zbl 1267.13021 Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Connected sums of Gorenstein local rings. Zbl 1271.13047 Ananthnarayan, H.; Avramov, Luchezar L.; Moore, W. Frank 27 2012 A cohomological study of local rings of embedding codepth 3. Zbl 1259.13010 Avramov, Luchezar L. 22 2012 Homological invariants of modules over contracting endomorphisms. Zbl 1241.13013 Avramov, Luchezar L.; Hochster, Melvin; Iyengar, Srikanth B.; Yao, Yongwei 10 2012 Reflexivity and rigidity for complexes. II: Schemes. Zbl 1246.14005 Avramov, Luchezar; Iyengar, Srikanth B.; Lipman, Joseph 9 2011 Homology of perfect complexes. Zbl 1186.13006 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 44 2010 Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017 Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph 25 2010 Free resolutions over commutative Koszul algebras. Zbl 1231.13012 Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 23 2010 Reduction of derived Hochschild functors over commutative algebras and schemes. Zbl 1183.13021 Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph; Nayak, Suresh 17 2010 Cohomology over complete intersections via exterior algebras. Zbl 1211.13006 Avramov, Luchezar L.; Iyengar, Srikanth B. 8 2010 Short Koszul modules. Zbl 1237.13025 Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 2 2010 Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731-1781]. Zbl 1200.13020 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 2 2010 Free resolutions over short local rings. Zbl 1153.13011 Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 25 2008 Gorenstein algebras and Hochschild cohomology. Zbl 1245.13011 Avramov, Luchezar L.; Iyengar, Srikanth B. 8 2008 Constructing modules with prescribed cohomological support. Zbl 1121.13014 Avramov, Luchezar L.; Iyengar, Srikanth B. 24 2007 Stable cohomology over local rings. Zbl 1127.13012 Avramov, Luchezar L.; Veliche, Oana 21 2007 Class rank of differential modules. Zbl 1153.13010 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth 19 2007 Homology over local homomorphisms. Zbl 1102.13011 Avramov, Luchezar L.; Iyengar, Srikanth; Miller, Claudia 27 2006 Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa. Zbl 1087.13010 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Şega, Liana M. 28 2005 Gaps in Hochschild cohomology imply smoothness for commutative algebras. Zbl 1101.13018 Avramov, Luchezar L.; Iyengar, Srikanth 9 2005 André-Quillen homology of algebra retracts. Zbl 1079.13503 Avramov, Luchezar L.; Iyengar, Srikanth 5 2003 Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Zbl 1047.16002 Avramov, Luchezar L.; Martsinkovsky, Alex 208 2002 Homological dimensions and related invariants of modules over local rings. Zbl 1086.16504 Avramov, Luchezar L. 12 2002 Resolutions and cohomology over complete intersections. Zbl 0994.13006 Avramov, Luchezar L.; Grayson, Daniel R. 5 2002 Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms. Zbl 1044.13006 Avramov, Luchezar L.; Iyengar, Srikanth 4 2002 Homotopy Lie algebras and Poincaré series of algebras with monomial relations. Zbl 1031.13006 Avramov, Luchezar L. 3 2002 Finite regularity and Koszul algebras. Zbl 1053.13500 Avramov, Luchezar L.; Peeva, Irena 25 2001 Frobenius powers of complete intersections. Zbl 1034.13006 Avramov, Luchezar L.; Miller, Claudia 9 2001 Support varieties and cohomology over complete intersections. Zbl 0999.13008 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 113 2000 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011 Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 45 2000 Homological algebra modulo a regular sequence with special attention to codimension two. Zbl 1011.13007 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 24 2000 Finite generation of Hochschild homology algebras. Zbl 0966.13009 Avramov, Luchezar L.; Iyengar, Srikanth 4 2000 Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology. Zbl 0968.13007 Avramov, Luchezar L. 27 1999 Infinite free resolutions. Zbl 0934.13008 Avramov, Luchezar L. 161 1998 Cohomology operators defined by a deformation. Zbl 0915.13009 Avramov, Luchezar L.; Sun, Li-Chuan 23 1998 Cohen-Macaulay properties of ring homomorphisms. Zbl 0935.13008 Avramov, Luchezar L.; Foxby, Hans-Bjørn 16 1998 Complete intersection dimension. Zbl 0918.13008 Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 121 1997 Ring homomorphisms and finite Gorenstein dimension. Zbl 0901.13011 Avramov, Luchezar L.; Foxby, Hans-Bjørn 84 1997 Laurent coefficients and Ext of finite graded modules. Zbl 0869.13007 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Sally, Judith D. 9 1997 Modules with extremal resolutions. Zbl 0867.13003 Avramov, Luchezar L. 14 1996 Structure of local homomorphisms. Zbl 0798.13002 Avramov, Luchezar L.; Foxby, Hans-Bjørn; Herzog, Bernd 45 1994 Local rings over which all modules have rational Poincaré series. Zbl 0794.13010 Avramov, Luchezar L. 14 1994 Jacobian criteria for complete intersections. The graded case. Zbl 0813.13024 Avramov, Luchezar L.; Herzog, Jürgen 12 1994 Grothendieck’s localization problem. Zbl 0804.13006 Avramov, Luchezar L.; Foxby, Hans-Bjørn 6 1994 Locally complete intersection homomorphisms and vanishing of André- Quillen homology. Zbl 0820.13012 Avramov, Luchezar L. 2 1994 Lower bounds of Betti numbers. Zbl 0786.13004 Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 15 1993 Bass series of local ring homomorphisms of finite flat dimension. Zbl 0770.13007 Avramov, Luchezar L.; Foxby, Hans-Bjørn; Lescot, Jack 13 1993 Locally Gorenstein homomorphisms. Zbl 0769.13007 Avramov, Luchezar L.; Foxby, Hans-Bjørn 41 1992 Regularity of modules over a Koszul algebra. Zbl 0770.13006 Avramov, Luchezar L.; Eisenbud, David 32 1992 Hochschild homology criteria for smoothness. Zbl 0755.13006 Avramov, Luchezar L.; Vigué-Poirrier, Micheline 22 1992 Problems on infinite free resolutions. Zbl 0778.13010 Avramov, Luchezar L. 6 1992 Homological dimensions of unbounded complexes. Zbl 0737.16002 Avramov, Luchezar L.; Foxby, Hans-Bjørn 179 1991 Gorenstein local homomorphisms. Zbl 0712.13006 Avramov, Luchezar L.; Foxby, Hans-Bjørn 8 1990 Espaces de Golod. (Golod spaces). Zbl 0725.55008 Avramov, L. L.; Félix, Y. 3 1990 Modules of finite virtual projective dimension. Zbl 0677.13004 Avramov, L. L. 85 1989 Homological asymptotics of modules over local rings. Zbl 0788.18010 Avramov, Luchezar L. 35 1989 A periodic module of infinite virtual projective dimension. Zbl 0694.13007 Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 6 1989 Séries de Bass des homomorphismes locaux de Tor-dimension finie. (Bass series of local ring homomorphisms of finite flat dimension). Zbl 0687.13009 Avramov, Luchézar L.; Foxby, Hans-Bjørn; Lescot, Jack 3 1989 Poincaré series of modules over local rings of small embedding codepth or small linking number. Zbl 0648.13008 Avramov, Luchezar L.; Kustin, Andrew R.; Miller, Matthew 60 1988 On the non-vanishing of cotangent cohomology. Zbl 0624.13013 Avramov, Luchezar; Halperin, Stephen 7 1987 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010 Avramov, Luchezar; Halperin, Stephen 39 1986 Golod homomorphisms. Zbl 0589.13004 Avramov, Luchezar L. 18 1986 Singularities of quotients by vector fields in characteristic \(p\). Zbl 0566.14001 Aramova, Annetta G.; Avramov, Luchezar L. 8 1986 Torsion in loop space homology. Zbl 0594.55007 Avramov, Luchezar L. 4 1986 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007 Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 11 1985 Local algebra and rational homotopy. Zbl 0552.13003 Avramov, Luchezar L. 30 1984 Local rings of finite simplicial dimension. Zbl 0552.13005 Avramov, Luchezar L. 3 1984 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009 Avramov, Luchezar L.; Halperin, Stephen 2 1984 Obstructions to the existence of a multiplicative structure on minimal resolutions. Zbl 0542.13007 Avramov, L. L. 1 1983 Free Lie subalgebras of the cohomology of local rings. Zbl 0516.13022 Avramov, Luchezar L. 9 1982 Pseudo-reflection group actions on local rings. Zbl 0488.13008 Avramov, Luchezar L. 6 1982 Descente des déviations par homomorphismes locaux et generation des ideaux de dimension projective finie. Zbl 0509.13008 Avramov, Luchezar 6 1982 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027 Achilles, Ruediger; Avramov, Luchezar L. 5 1982 Bass numbers and Golod rings. Zbl 0509.13009 Avramov, Luchezar L.; Lescot, Jack 3 1982 When do the symmetric tensors of a commutative algebra form a Frobenius algebra? Zbl 0497.16005 Aramova, Annetta G.; Avramov, Luchezar L. 1 1982 Invariants d’un groupe fini engendre par des pseudo-reflexions, operant sur un anneau local. Zbl 0516.13005 Avramov, Luchezar L. 1 1982 Complete intersections and symmetric algebras. Zbl 0516.13001 Avramov, Luchezar L. 45 1981 Obstructions to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13006 Avramov, Luchezar L. 32 1981 Poincaré series of almost complete intersections of embedding dimension three. Zbl 0516.13021 Avramov, Luchezar L. 6 1981 Symmetric algebras of modules of projective dimension one. Zbl 0516.13002 Avramov, Luchezar L. 2 1981 Differential graded models for local rings. Zbl 0509.13010 Avramov, Luchezar L. 1 1981 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014 Avramov, Lacezar; Herzog, Jürgen 47 1980 A class of factorial domains. Zbl 0443.13009 Avramov, Luchezar L. 11 1979 Sur la croissance des nombres de Betti d’un anneau local. Zbl 0425.13009 Avramov, Luchezar 1 1979 On the convergence radius of Poincaré series of local rings. Zbl 0433.13010 Avramov, Luchezar L. 1 1979 Obstruction to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13005 Avramov, Luchezar L. 1 1979 Small homomorphisms of local rings. Zbl 0395.13005 Avramov, Luchezar L. 42 1978 Factoring out the socle of a Gorenstein ring. Zbl 0407.13018 Levin, Gerson L.; Avramov, Luchezar L. 23 1978 Homomorphismes d’anneaux locaux et homologie. Zbl 0433.13011 Avramov, Luchezar L. 1 1978 Homology of local flat extensions and complete intersection defects. Zbl 0333.13011 Avramov, Luchezar L. 18 1977 On the homology of a tensor product of local rings. Zbl 0324.13016 Avramov, L. L. 2 1976 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 857 Authors 47 Takahashi, Ryo 45 Iyengar, Srikanth B. 44 Sather-Wagstaff, Keri 38 Avramov, Luchezar L. 31 Winther Christensen, Lars 30 Celikbas, Olgur 27 Jorgensen, David A. 26 Kustin, Andrew R. 25 Liu, Zhong-kui 24 Bergh, Petter Andreas 22 Liang, Li 22 Salarian, Shokrollah 22 Yassemi, Siamak 19 Ulrich, Bernd 18 Asadollahi, Javad J. 18 Şega, Liana M. 17 Nasseh, Saeed 17 Peeva, Irena V. 17 Sadeghi, Arash 17 Vasconcelos, Wolmer V. 17 Zhang, Pu 15 Eisenbud, David 15 Herzog, Jürgen 14 Dao, Hailong 14 Huneke, Craig L. 13 Veliche, Oana 12 Conca, Aldo 12 Hu, Jiangsheng 12 Puthenpurakal, Tony J. 12 Wu, Dejun 11 Holm, Henrik 11 Jørgensen, Peter Bjørn 11 Nguyen, Dang Hop 11 Pollitz, Josh 11 Shaul, Liran 11 Tousi, Massoud 11 Vraciu, Adela N. 11 Yang, Gang 10 Frankild, Anders J. 10 Halperin, Stephen 10 Huang, Zhaoyong 10 Moore, W. Frank 10 Römer, Tim 10 Salimi, Maryam 10 Simis, Aron 10 Tavasoli, Elham 10 Thompson, Peder 10 VandeBogert, Keller 9 Araya, Tokuji 9 Emmanouil, Ioannis 9 Gasharov, Vesselin N. 9 Matsui, Hiroki 9 Weyman, Jerzy M. 8 Benson, David John 8 Di, Zhenxing 8 Félix, Yves 8 Ferraro, Luigi 8 Gao, Nan 8 Gheibi, Mohsen 8 Ghosh, Dipankar 8 Iacob, Alina C. 8 Kobayashi, Toshinori 8 Ren, Wei 8 Sharif, Tirdad 8 Yang, Xiaoyan 8 Yoshino, Yuji 7 Bahlekeh, Abdolnaser 7 Bruns, Winfried 7 Buchweitz, Ragnar-Olaf 7 Enochs, Edgar E. 7 Estrada, Sergio 7 Goto, Shiro 7 Greenlees, John P. C. 7 Krause, Henning 7 Majadas, Javier 7 McCullough, Jason 7 Mori, Izuru 7 Oppermann, Steffen 7 Piepmeyer, Greg 7 Roos, Jan-Erik 7 Solotar, Andrea Leonor 7 Spiroff, Sandra 7 Thomas, Jean-Claude 7 Vu, Thanh 7 Zhu, Xiaosheng 6 Briggs, Benjamin 6 Dibaei, Mohammad T. 6 Ding, Nanqing 6 Divaani-Aazar, Kamran 6 Erman, Daniel 6 García Rozas, Juan Ramon 6 Jorge Pérez, Victor Hugo 6 Lu, Ming 6 Maleki, Rasoul Ahangari 6 Mao, XueFeng 6 Neeman, Amnon 6 Striuli, Janet 6 Suciu, Alexander I. 6 Welker, Volkmar 6 Wicklein, Richard ...and 757 more Authors all top 5 Cited in 143 Serials 248 Journal of Algebra 152 Journal of Pure and Applied Algebra 125 Communications in Algebra 56 Transactions of the American Mathematical Society 47 Advances in Mathematics 46 Proceedings of the American Mathematical Society 43 Journal of Algebra and its Applications 40 Journal of Commutative Algebra 38 Algebras and Representation Theory 32 Mathematische Zeitschrift 16 Archiv der Mathematik 15 Collectanea Mathematica 14 Compositio Mathematica 14 Nagoya Mathematical Journal 12 Bulletin of the Iranian Mathematical Society 11 Israel Journal of Mathematics 11 Mathematische Annalen 10 Illinois Journal of Mathematics 10 Acta Mathematica Sinica. English Series 9 Glasgow Mathematical Journal 9 Inventiones Mathematicae 9 Manuscripta Mathematica 9 Algebra Colloquium 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Acta Mathematica Vietnamica 8 Bulletin of the London Mathematical Society 8 Czechoslovak Mathematical Journal 8 Pacific Journal of Mathematics 8 Applied Categorical Structures 7 Journal of Algebraic Combinatorics 7 Science China. Mathematics 6 Rocky Mountain Journal of Mathematics 6 Journal für die Reine und Angewandte Mathematik 6 Algebra & Number Theory 5 Annales de l’Institut Fourier 5 Michigan Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Selecta Mathematica. New Series 5 Journal of the European Mathematical Society (JEMS) 5 Kyoto Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Journal of the Mathematical Society of Japan 4 Journal of the American Mathematical Society 4 Algebraic & Geometric Topology 4 Frontiers of Mathematics in China 3 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Canadian Mathematical Bulletin 3 Colloquium Mathematicum 3 Publications Mathématiques 3 Osaka Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Advances in Applied Mathematics 3 Journal of Symbolic Computation 3 Science in China. Series A 3 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Turkish Journal of Mathematics 3 Bulletin des Sciences Mathématiques 3 Journal of the Australian Mathematical Society 3 Forum of Mathematics, Sigma 2 Mathematical Notes 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Journal of the Indian Institute of Science 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Quaestiones Mathematicae 2 Results in Mathematics 2 Topology and its Applications 2 Bulletin of the Korean Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 \(K\)-Theory 2 Journal of Algebraic Geometry 2 Journal of Mathematical Sciences (New York) 2 Documenta Mathematica 2 Taiwanese Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Journal of High Energy Physics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Forum of Mathematics, Pi 2 European Journal of Mathematics 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Matematički Vesnik 1 Mathematics and Computers in Simulation ...and 43 more Serials all top 5 Cited in 27 Fields 897 Commutative algebra (13-XX) 378 Associative rings and algebras (16-XX) 285 Category theory; homological algebra (18-XX) 207 Algebraic geometry (14-XX) 88 Algebraic topology (55-XX) 54 Group theory and generalizations (20-XX) 40 Combinatorics (05-XX) 35 Nonassociative rings and algebras (17-XX) 28 Manifolds and cell complexes (57-XX) 14 Convex and discrete geometry (52-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 \(K\)-theory (19-XX) 8 Differential geometry (53-XX) 6 Number theory (11-XX) 5 Quantum theory (81-XX) 4 Computer science (68-XX) 3 Field theory and polynomials (12-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.