Edit Profile (opens in new tab) Reiten, Idun Compute Distance To: Compute Author ID: reiten.idun Published as: Reiten, Idun; Reiten, I. External Links: Women in Mathematics · MGP · Wikidata · GND · IdRef Documents Indexed: 138 Publications since 1970, including 6 Books 6 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 44 Co-Authors with 120 Joint Publications 653 Co-Co-Authors all top 5 Co-Authors 25 single-authored 42 Auslander, Maurice 15 Buan, Aslak Bakke 15 Smalø, Sverre Olaf 12 Happel, Dieter 11 Iyama, Osamu 8 Solberg, Øyvind 7 Marsh, Bethany Rose 6 Keller, Bernhard 6 Thomas, Hugh Ross 6 Todorov, Gordana 5 Fossum, Robert M. 5 Green, Edward Lee 5 Platzeck, María Inés 5 Skowroński, Andrzej 3 Amiot, Claire 3 Griffith, Phillip A. 3 Ringel, Claus Michael 3 Van den Bergh, Michel 2 Bautista, Raymundo 2 de la Peña, José Antonio 2 Lenzing, Helmut 2 Martinez-Villa, Roberto 1 Adachi, Takahide 1 Beligiannis, Apostolos 1 Buchsbaum, David A. 1 Burban, Igor 1 Caldero, Philippe 1 Cappa, Juan Ángel 1 Donkin, Stephen 1 Dräxler, Peter 1 Foxby, Hans-Bjørn 1 Fuller, Kent R. 1 Geiss, Christof 1 Kleiner, Mark 1 Mantese, Francesca 1 Oppermann, Steffen 1 Palu, Yann 1 Peskine, Christian 1 Reading, Nathan 1 Reineke, Markus 1 Riedtmann, Christine 1 Roggenkamp, Klaus W. 1 Seven, Ahmet I. 1 Smith, David 1 Zacharia, Dan 1 Zhu, Shijie all top 5 Serials 15 Advances in Mathematics 14 Journal of Algebra 9 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 5 Communications in Algebra 5 Compositio Mathematica 5 Journal of Pure and Applied Algebra 5 Mathematische Zeitschrift 4 Memoirs of the American Mathematical Society 3 American Journal of Mathematics 3 Illinois Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Journal of the London Mathematical Society. Second Series 2 Mathematica Scandinavica 2 IMRN. International Mathematics Research Notices 2 Notices of the American Mathematical Society 2 CMS Conference Proceedings 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the National Academy of Sciences of the United States of America 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Documenta Mathematica 1 Algebras and Representation Theory 1 Oberwolfach Reports 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes in Mathematics 1 Abel Symposia 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 135 Associative rings and algebras (16-XX) 56 Category theory; homological algebra (18-XX) 31 Commutative algebra (13-XX) 13 Algebraic geometry (14-XX) 10 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 5 History and biography (01-XX) 4 General and overarching topics; collections (00-XX) 3 Algebraic topology (55-XX) 2 \(K\)-theory (19-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 5,484 times in 2,839 Documents Cited by ▼ Year ▼ Representation theory of Artin algebras. Zbl 0834.16001Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 826 1995 Tilting theory and cluster combinatorics. Zbl 1127.16011Buan, Aslak Bakke; Marsh, Bethany Rose; Reineke, Markus; Reiten, Idun; Todorov, Gordana 387 2006 Applications of contravariantly finite subcategories. Zbl 0774.16006Auslander, Maurice; Reiten, Idun 335 1991 Tilting in abelian categories and quasitilted algebras. Zbl 0849.16011Happel, Dieter; Reiten, Idun; Smalø, Sverre O. 252 1996 Representation theory of Artin algebras. III: Almost split sequences. Zbl 0331.16027Auslander, Maurice; Reiten, Idun 248 1975 Homological and homotopical aspects of torsion theories. Zbl 1124.18005Beligiannis, Apostolos; Reiten, Idun 199 2007 Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007Keller, Bernhard; Reiten, Idun 183 2007 Cluster-tilted algebras. Zbl 1123.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 170 2007 \(\tau\)-tilting theory. Zbl 1330.16004Adachi, Takahide; Iyama, Osamu; Reiten, Idun 160 2014 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009Reiten, I.; Van den Bergh, M. 144 2002 Cluster structures for 2-Calabi-Yau categories and unipotent groups. Zbl 1181.18006Buan, A. B.; Iyama, O.; Reiten, I.; Scott, J. 129 2009 Representation theory of Artin algebras. IV: Invariants given by almost split sequences. Zbl 0396.16007Auslander, Maurice; Reiten, Idun 126 1977 Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory. Zbl 0303.18006Fossum, Robert M.; Griffith, Phillip A.; Reiten, Idun 122 1975 Coxeter functors without diagrams. Zbl 0421.16016Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun 104 1979 Stable equivalence of dualizing R-varieties. Zbl 0285.16027Auslander, Maurice; Reiten, Idun 91 1974 Skew group algebras in the representation theory of Artin algebras. Zbl 0549.16017Reiten, Idun; Riedtmann, Christine 77 1985 On a generalized version of the Nakayama conjecture. Zbl 0337.16004Auslander, Maurice; Reiten, Idun 72 1975 Cluster mutation via quiver representations. Zbl 1193.16016Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 66 2008 Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Zbl 1162.16007Iyama, Osamu; Reiten, Idun 66 2008 Cohen-Macaulay and Gorenstein Artin algebras. Zbl 0776.16003Auslander, Maurice; Reiten, Idun 64 1991 Representation theory of Artin algebras. V: Methods for computing almost split sequences and irreducible morphisms. Zbl 0396.16008Auslander, Maurice; Reiten, Idun 64 1977 Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun 59 2008 Mutation of cluster-tilting objects and potentials. Zbl 1285.16012Buan, A. B.; Iyama, O.; Reiten, I.; Smith, D. 56 2011 Acyclic Calabi-Yau categories. Zbl 1171.18008Keller, Bernhard; Reiten, Idun 50 2008 The converse to a theorem of Sharp on Gorenstein modules. Zbl 0235.13016Reiten, Idun 48 1972 Cluster-tilted algebras of finite representation type. Zbl 1116.16012Buan, Aslak Bakke; Marsh, Robert J.; Reiten, Idun 48 2006 Representation theory of Artin algebras. VI: A functorial approach to almost split sequences. Zbl 0446.16027Auslander, Maurice; Reiten, Idun 44 1978 Clusters and seeds in acyclic cluster algebras. With an appendix coauthored in addition by P. Caldero and B. Keller. Zbl 1190.16022Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun; Todorov, Gordana 42 2007 \(k\)-Gorenstein algebras and syzygy modules. Zbl 0803.16016Auslander, Maurice; Reiten, Idun 41 1994 Modules determined by their composition factors. Zbl 0539.16011Auslander, Maurice; Reiten, Idun 40 1985 Stable equivalence of Artin algebras. Zbl 0276.16020Auslander, Maurice; Reiten, Idun 38 1973 Syzygy modules for Noetherian rings. Zbl 0857.16006Auslander, Maurice; Reiten, Idun 38 1996 Trivial extensions of abelian categories and applications to rings: An expository account. Zbl 0255.16014Fossum, R.; Griffith, P.; Reiten, I. 36 1972 Minimal injective resolutions with applications to dualizing modules and Gorenstein modules. Zbl 0321.13013Fossum, Robert; Foxby, Hans-Bjorn; Griffith, Phillip; Reiten, Idun 36 1975 Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002Reiten, Idun; Van den Bergh, Michel 34 1989 Generalized double tilted algebras. Zbl 1071.16011Reiten, Idun; Skowroński, Andrzej 33 2004 Stable categories of Cohen-Macaulay modules and cluster categories. Zbl 1450.18003Amiot, Claire; Iyama, Osamu; Reiten, Idun 32 2015 Characterizations of algebras with small homological dimensions. Zbl 1051.16011Reiten, Idun; Skowroński, Andrzej 30 2003 Exact categories and vector space categories. (With an appendix by B. Keller). Zbl 0916.16002Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind 29 1999 Gentle algebras are Gorenstein. Zbl 1148.16301Geiß, Ch.; Reiten, I. 29 2005 Grothendieck groups of algebras and orders. Zbl 0576.18008Auslander, Maurice; Reiten, Idun 27 1986 Wakamatsu tilting modules. Zbl 1075.16006Mantese, Francesca; Reiten, Idun 26 2004 Infinite dimensional representations of canonical algebras. Zbl 1192.16004Reiten, Idun; Ringel, Claus Michael 24 2006 Hereditary abelian categories with tilting object over arbitrary base fields. Zbl 1015.18007Happel, Dieter; Reiten, Idun 24 2002 Piecewise hereditary algebras. Zbl 0865.16009Happel, Dieter; Reiten, Idun; Smalø, Sverre 23 1996 Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 21 2018 Hereditary noetherian categories of positive Euler characteristic. Zbl 1105.18010Lenzing, Helmut; Reiten, Idun 21 2006 Short chains and short cycles of modules. Zbl 0794.16013Reiten, I.; Skowroński, A.; Smalø, S. O. 20 1993 Note on rings of finite representations type and decompositions of modules. Zbl 0281.16019Fuller, K. R.; Reiten, Idun 20 1975 Preprojective algebras and \(c\)-sortable words. Zbl 1246.13033Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana 20 2012 Dualities on generalized Koszul algebras. Zbl 1012.16033Green, Edward L.; Reiten, Idun; Solberg, Øyvind 19 2002 Modules of finite projective dimension for standardly stratified algebras. Zbl 1002.16009Platzeck, María Inés; Reiten, Idun 19 2001 Homologically finite subcategories. Zbl 0774.16005Auslander, Maurice; Reiten, Idun 18 1992 McKay quivers and extended Dynkin diagrams. Zbl 0588.20001Auslander, Maurice; Reiten, Idun 18 1986 Lattice structure of torsion classes for path algebras. Zbl 1397.16011Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana 18 2015 Cluster categories. Zbl 1264.16017Reiten, Idun 17 2011 Almost split sequences for Cohen-Macaulay-modules. Zbl 0611.13009Auslander, Maurice; Reiten, Idun 16 1987 \(D\text{Tr}\)-periodic modules and functors. Zbl 0859.16008Auslander, Maurice; Reiten, Idun 16 1996 Acyclic quivers of finite mutation type. Zbl 1116.16013Buan, Aslak Bakke; Reiten, Idun 15 2006 On modules with linear presentations. Zbl 0988.16031Green, E. L.; Martinez-Villa, R.; Reiten, I.; Solberg, Ø.; Zacharia, D. 15 1998 Selected works of Maurice Auslander. Part 1. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01021Auslander, Maurice 15 1999 On the representation type of triangular matrix rings. Zbl 0316.16034Auslander, Maurice; Reiten, Idun 15 1976 Denominators of cluster variables. Zbl 1237.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 15 2009 Bounded derived categories and repetitive algebras. Zbl 1187.16016Happel, Dieter; Keller, Bernhard; Reiten, Idun 14 2008 Sincere stable tubes. Zbl 0970.16013Reiten, I.; Skowroński, A. 14 2000 Three kinds of mutation. Zbl 1247.16008Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 14 2011 Almost split sequences for rational double points. Zbl 0617.13018Auslander, Maurice; Reiten, Idun 13 1987 Tame concealed algebras and cluster quivers of minimal infinite type. Zbl 1127.16012Buan, Aslak Bakke; Reiten, Idun; Seven, Ahmet I. 13 2007 Quotient closed subcategories of quiver representations. Zbl 1366.16010Oppermann, Steffen; Reiten, Idun; Thomas, Hugh 13 2015 Dominant dimension and tilting modules. Zbl 1468.16026Nguyen, Van C.; Reiten, Idun; Todorov, Gordana; Zhu, Shijie 13 2019 The Cohen-Macaulay type of Cohen-Macaulay rings. Zbl 0744.13003Auslander, Maurice; Reiten, Idun 12 1989 Stable equivalence of dualizing R-varieties. V: Artin algebras stably equivalent to hereditary algebras. Zbl 0312.16018Auslander, Maurice; Reiten, Idun 12 1975 Uniserial functors. Zbl 0454.16013Auslander, Maurice; Reiten, Idun 11 1980 Hereditary categories with tilting object. Zbl 0937.18014Happel, Dieter; Reiten, Idun 11 1999 On a theorem of E. Green on the dual of the transpose. Zbl 0754.16008Auslander, Maurice; Reiten, Idun 10 1991 Almost split sequences in dimension two. Zbl 0625.13013Auslander, M.; Reiten, I. 10 1987 Galois actions on rings and finite Galois coverings. Zbl 0677.16024Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 10 1989 Introduction to \(\tau\)-tilting theory. Zbl 1355.16001Iyama, Osamu; Reiten, Idun 10 2014 Dynkin diagrams and representation theory of algebras. Zbl 0940.16009Reiten, Idun 10 1997 Directing objects in hereditary categories. Zbl 0923.16012Happel, Dieter; Reiten, Idun 10 1998 Almost split sequences whose middle term has at most two indecomposable summands. Zbl 0429.16016Auslander, M.; Bautista, R.; Platzeck, M. I.; Reiten, I.; Smalo, S. O. 10 1979 Stable equivalence of self-injective algebras. Zbl 0325.16016Reiten, Idun 10 1976 From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. Zbl 1246.05171Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 10 2012 2-Auslander algebras associated with reduced words in Coxeter groups. Zbl 1277.16012Iyama, Osamu; Reiten, Idun 9 2011 The ubiquity of generalized cluster categories. Zbl 1268.18007Amiot, Claire; Reiten, Idun; Todorov, Gordana 9 2011 Almost split sequences for group algebras of finite representation type. Zbl 0368.16004Reiten, Idun 9 1977 Grothendieck groups and tilting objects. Zbl 0988.18008Reiten, Idun; Van den Bergh, Michel 9 2001 Stable equivalence of dualizing R-varieties. III: Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties. Zbl 0312.16016Auslander, Maurice; Reiten, Idun 9 1975 Abelian categories, almost split sequences, and comodules. Zbl 1068.18010Kleiner, Mark; Reiten, Idun 8 2005 Modules with waists. Zbl 0304.16007Auslander, M.; Green, Edward L.; Reiten, Idun 8 1975 Stable equivalence of dualizing R-varieties. II: Hereditary dualizing R- varieties. Zbl 0312.16015Auslander, Maurice; Reiten, Idun 8 1975 Cohen-Macaulay modules for graded Cohen-Macaulay rings and their completions. Zbl 0731.13007Auslander, Maurice; Reiten, Idun 7 1989 The use of almost split sequences in the representation theory of Artin algebras. Zbl 0486.16018Reiten, Idun 7 1982 On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010Donkin, Stephen; Reiten, Idun 7 1994 Commutative n-Gorenstein rings. Zbl 0256.13016Reiten, Idun; Fossum, Robert 6 1972 Tilting theory and quasitilted algebras. Zbl 0906.16002Reiten, Idun 6 1998 Stable equivalence of dualizing R-varieties. VI: Nakayama dualizing R- varieties. Zbl 0312.16019Reiten, Idun 6 1975 Short chains and regular components. Zbl 0782.16008Reiten, Idun; Skowroński, Andrzej; Smalø, Sverre O. 5 1993 Almost split sequences for \({\mathbb{Z}}\)-graded rings. Zbl 0632.13005Auslander, Maurice; Reiten, Idun 5 1987 On the construction of ring extensions. Zbl 0319.16011Green, Edward L.; Reiten, Idun 5 1976 Dominant dimension and tilting modules. Zbl 1468.16026Nguyen, Van C.; Reiten, Idun; Todorov, Gordana; Zhu, Shijie 13 2019 Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 21 2018 Algebras of finite representation type arising from maximal rigid objects. Zbl 1368.18007Buan, Aslak Bakke; Palu, Yann; Reiten, Idun 3 2016 Rigid and Schurian modules over cluster-tilted algebras of tame type. Zbl 1390.13067Marsh, Bethany R.; Reiten, Idun 1 2016 Stable categories of Cohen-Macaulay modules and cluster categories. Zbl 1450.18003Amiot, Claire; Iyama, Osamu; Reiten, Idun 32 2015 Lattice structure of torsion classes for path algebras. Zbl 1397.16011Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana 18 2015 Quotient closed subcategories of quiver representations. Zbl 1366.16010Oppermann, Steffen; Reiten, Idun; Thomas, Hugh 13 2015 \(\tau\)-tilting theory. Zbl 1330.16004Adachi, Takahide; Iyama, Osamu; Reiten, Idun 160 2014 Introduction to \(\tau\)-tilting theory. Zbl 1355.16001Iyama, Osamu; Reiten, Idun 10 2014 Preprojective algebras and \(c\)-sortable words. Zbl 1246.13033Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana 20 2012 From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. Zbl 1246.05171Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 10 2012 Mutation of cluster-tilting objects and potentials. Zbl 1285.16012Buan, A. B.; Iyama, O.; Reiten, I.; Smith, D. 56 2011 Cluster categories. Zbl 1264.16017Reiten, Idun 17 2011 Three kinds of mutation. Zbl 1247.16008Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 14 2011 2-Auslander algebras associated with reduced words in Coxeter groups. Zbl 1277.16012Iyama, Osamu; Reiten, Idun 9 2011 The ubiquity of generalized cluster categories. Zbl 1268.18007Amiot, Claire; Reiten, Idun; Todorov, Gordana 9 2011 2-Calabi-Yau tilted algebras. Zbl 1247.16013Reiten, Idun 3 2010 Cluster structures for 2-Calabi-Yau categories and unipotent groups. Zbl 1181.18006Buan, A. B.; Iyama, O.; Reiten, I.; Scott, J. 129 2009 Denominators of cluster variables. Zbl 1237.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 15 2009 \(m\)-noncrossing partitions and \(m\)-clusters. Zbl 1392.05012Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 2 2009 Cluster mutation via quiver representations. Zbl 1193.16016Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 66 2008 Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Zbl 1162.16007Iyama, Osamu; Reiten, Idun 66 2008 Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun 59 2008 Acyclic Calabi-Yau categories. Zbl 1171.18008Keller, Bernhard; Reiten, Idun 50 2008 Bounded derived categories and repetitive algebras. Zbl 1187.16016Happel, Dieter; Keller, Bernhard; Reiten, Idun 14 2008 Homological and homotopical aspects of torsion theories. Zbl 1124.18005Beligiannis, Apostolos; Reiten, Idun 199 2007 Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007Keller, Bernhard; Reiten, Idun 183 2007 Cluster-tilted algebras. Zbl 1123.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 170 2007 Clusters and seeds in acyclic cluster algebras. With an appendix coauthored in addition by P. Caldero and B. Keller. Zbl 1190.16022Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun; Todorov, Gordana 42 2007 Tame concealed algebras and cluster quivers of minimal infinite type. Zbl 1127.16012Buan, Aslak Bakke; Reiten, Idun; Seven, Ahmet I. 13 2007 Trisections of module categories. Zbl 1169.16006de la Peña, José A.; Reiten, Idun 3 2007 Tilting theory and cluster combinatorics. Zbl 1127.16011Buan, Aslak Bakke; Marsh, Bethany Rose; Reineke, Markus; Reiten, Idun; Todorov, Gordana 387 2006 Cluster-tilted algebras of finite representation type. Zbl 1116.16012Buan, Aslak Bakke; Marsh, Robert J.; Reiten, Idun 48 2006 Infinite dimensional representations of canonical algebras. Zbl 1192.16004Reiten, Idun; Ringel, Claus Michael 24 2006 Hereditary noetherian categories of positive Euler characteristic. Zbl 1105.18010Lenzing, Helmut; Reiten, Idun 21 2006 Acyclic quivers of finite mutation type. Zbl 1116.16013Buan, Aslak Bakke; Reiten, Idun 15 2006 Gentle algebras are Gorenstein. Zbl 1148.16301Geiß, Ch.; Reiten, I. 29 2005 Abelian categories, almost split sequences, and comodules. Zbl 1068.18010Kleiner, Mark; Reiten, Idun 8 2005 Generalized double tilted algebras. Zbl 1071.16011Reiten, Idun; Skowroński, Andrzej 33 2004 Wakamatsu tilting modules. Zbl 1075.16006Mantese, Francesca; Reiten, Idun 26 2004 Characterizations of algebras with small homological dimensions. Zbl 1051.16011Reiten, Idun; Skowroński, Andrzej 30 2003 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009Reiten, I.; Van den Bergh, M. 144 2002 Hereditary abelian categories with tilting object over arbitrary base fields. Zbl 1015.18007Happel, Dieter; Reiten, Idun 24 2002 Dualities on generalized Koszul algebras. Zbl 1012.16033Green, Edward L.; Reiten, Idun; Solberg, Øyvind 19 2002 A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line. Zbl 1043.16006Happel, Dieter; Reiten, Idun 2 2002 Hereditary categories with Serre duality. Zbl 1087.18500Reiten, Idun 1 2002 A combinatorial characterization of hereditary categories containing simple objects. Zbl 1050.18008Happel, Dieter; Reiten, Idun 1 2002 Modules of finite projective dimension for standardly stratified algebras. Zbl 1002.16009Platzeck, María Inés; Reiten, Idun 19 2001 Grothendieck groups and tilting objects. Zbl 0988.18008Reiten, Idun; Van den Bergh, Michel 9 2001 Hereditary Abelian categories and almost split sequences. Zbl 1064.16017Reiten, Idun 1 2001 Sincere stable tubes. Zbl 0970.16013Reiten, I.; Skowroński, A. 14 2000 Exact categories and vector space categories. (With an appendix by B. Keller). Zbl 0916.16002Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind 29 1999 Selected works of Maurice Auslander. Part 1. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01021Auslander, Maurice 15 1999 Hereditary categories with tilting object. Zbl 0937.18014Happel, Dieter; Reiten, Idun 11 1999 Additive functions for quivers with relations. Zbl 0984.16015Lenzing, Helmut; Reiten, Idun 3 1999 Selected works of Maurice Auslander. Part 2. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01022Auslander, Maurice 2 1999 On modules with linear presentations. Zbl 0988.16031Green, E. L.; Martinez-Villa, R.; Reiten, I.; Solberg, Ø.; Zacharia, D. 15 1998 Directing objects in hereditary categories. Zbl 0923.16012Happel, Dieter; Reiten, Idun 10 1998 Tilting theory and quasitilted algebras. Zbl 0906.16002Reiten, Idun 6 1998 Homological properties of almost split sequences. Zbl 0944.16012Reiten, Idun 1 1998 Dynkin diagrams and representation theory of algebras. Zbl 0940.16009Reiten, Idun 10 1997 Tilting in abelian categories and quasitilted algebras. Zbl 0849.16011Happel, Dieter; Reiten, Idun; Smalø, Sverre O. 252 1996 Syzygy modules for Noetherian rings. Zbl 0857.16006Auslander, Maurice; Reiten, Idun 38 1996 Piecewise hereditary algebras. Zbl 0865.16009Happel, Dieter; Reiten, Idun; Smalø, Sverre 23 1996 \(D\text{Tr}\)-periodic modules and functors. Zbl 0859.16008Auslander, Maurice; Reiten, Idun 16 1996 An introduction to quasitilted algebras. Zbl 0879.16003Happel, Dieter; Reiten, Idun 2 1996 Representation theory of Artin algebras. Zbl 0834.16001Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 826 1995 \(k\)-Gorenstein algebras and syzygy modules. Zbl 0803.16016Auslander, Maurice; Reiten, Idun 41 1994 On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010Donkin, Stephen; Reiten, Idun 7 1994 Short chains and short cycles of modules. Zbl 0794.16013Reiten, I.; Skowroński, A.; Smalø, S. O. 20 1993 Short chains and regular components. Zbl 0782.16008Reiten, Idun; Skowroński, Andrzej; Smalø, Sverre O. 5 1993 Short cycles and sincere modules. Zbl 0828.16009Happel, Dieter; Reiten, Idun; Smalø, Sverre O. 2 1993 Homologically finite subcategories. Zbl 0774.16005Auslander, Maurice; Reiten, Idun 18 1992 Applications of contravariantly finite subcategories. Zbl 0774.16006Auslander, Maurice; Reiten, Idun 335 1991 Cohen-Macaulay and Gorenstein Artin algebras. Zbl 0776.16003Auslander, Maurice; Reiten, Idun 64 1991 On a theorem of E. Green on the dual of the transpose. Zbl 0754.16008Auslander, Maurice; Reiten, Idun 10 1991 Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002Reiten, Idun; Van den Bergh, Michel 34 1989 The Cohen-Macaulay type of Cohen-Macaulay rings. Zbl 0744.13003Auslander, Maurice; Reiten, Idun 12 1989 Galois actions on rings and finite Galois coverings. Zbl 0677.16024Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 10 1989 Cohen-Macaulay modules for graded Cohen-Macaulay rings and their completions. Zbl 0731.13007Auslander, Maurice; Reiten, Idun 7 1989 Grothendieck groups of algebras with nilpotent annihilators. Zbl 0655.13010Auslander, Maurice; Reiten, Idun 4 1988 Almost split sequences for Abelian group graded rings. Zbl 0668.16001Auslander, Maurice; Reiten, Idun 1 1988 Almost split sequences for Cohen-Macaulay-modules. Zbl 0611.13009Auslander, Maurice; Reiten, Idun 16 1987 Almost split sequences for rational double points. Zbl 0617.13018Auslander, Maurice; Reiten, Idun 13 1987 Almost split sequences in dimension two. Zbl 0625.13013Auslander, M.; Reiten, I. 10 1987 Almost split sequences for \({\mathbb{Z}}\)-graded rings. Zbl 0632.13005Auslander, Maurice; Reiten, Idun 5 1987 Finite dimensional algebras and singularities. Zbl 0639.16017Reiten, Idun 3 1987 Grothendieck groups of algebras and orders. Zbl 0576.18008Auslander, Maurice; Reiten, Idun 27 1986 McKay quivers and extended Dynkin diagrams. Zbl 0588.20001Auslander, Maurice; Reiten, Idun 18 1986 Skew group algebras in the representation theory of Artin algebras. Zbl 0549.16017Reiten, Idun; Riedtmann, Christine 77 1985 Modules determined by their composition factors. Zbl 0539.16011Auslander, Maurice; Reiten, Idun 40 1985 An introduction to the representation theory of Artin algebras. Zbl 0573.16014Reiten, Idun 3 1985 The use of almost split sequences in the representation theory of Artin algebras. Zbl 0486.16018Reiten, Idun 7 1982 Generalized stable equivalence and group algebras. Zbl 0504.16023Reiten, Idun 2 1982 Uniserial functors. Zbl 0454.16013Auslander, Maurice; Reiten, Idun 11 1980 Coxeter functors without diagrams. Zbl 0421.16016Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun 104 1979 Almost split sequences whose middle term has at most two indecomposable summands. Zbl 0429.16016Auslander, M.; Bautista, R.; Platzeck, M. I.; Reiten, I.; Smalo, S. O. 10 1979 Algebras stably equivalent to Nakayama algebras of Loewy length at most 4. Zbl 0404.16013Reiten, Idun 2 1979 Representation theory of Artin algebras. VI: A functorial approach to almost split sequences. Zbl 0446.16027Auslander, Maurice; Reiten, Idun 44 1978 Periodic modules over weakly symmetric algebras. Zbl 0366.16010Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun 2 1978 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,491 Authors 69 Skowroński, Andrzej 67 Reiten, Idun 57 Assem, Ibrahim 50 Huang, Zhaoyong 44 Iyama, Osamu 40 Zhu, Bin 38 Schiffler, Ralf 37 Zhang, Pu 34 Coelho, Flávio Ulhoa 32 Happel, Dieter 32 Wei, Jiaqun 31 Auslander, Maurice 31 Trepode, Sonia Elisabet 28 Erdmann, Karin 26 Chen, Xiaowu 26 Igusa, Kiyoshi 26 Jørgensen, Peter Bjørn 26 Zhou, Panyue 25 Angeleri Hügel, Lidia 25 Buan, Aslak Bakke 25 Todorov, Gordana 24 Green, Edward Lee 23 Ringel, Claus Michael 23 Xi, Changchang 22 Bautista, Raymundo 22 Malicki, Piotr 21 Brüstle, Thomas 21 Solberg, Øyvind 21 Takahashi, Ryo 20 Krause, Henning 20 Simson, Daniel 19 Chaio, Claudia 19 Geiss, Christof 19 Li, Fang 19 Marcos, Eduardo N. 19 Platzeck, María Inés 19 Rump, Wolfgang 19 Saorín, Manuel 19 Yamagata, Kunio 18 Gao, Nan 18 Hafezi, Rasool 18 Marsh, Bethany Rose 18 Martinez-Villa, Roberto 17 Holm, Thorsten 17 Keller, Bernhard 17 König, Steffen 17 Schröer, Jan 17 Thomas, Hugh Ross 16 Asadollahi, Javad J. 16 Baur, Karin 16 Kerner, Otto 16 Mendoza, Octavio 16 Oppermann, Steffen 16 Psaroudakis, Chrysostomos 15 de la Peña, José Antonio 15 Leclerc, Bernard 15 Lenzing, Helmut 15 Lu, Ming 15 Marczinzik, René 15 Smalø, Sverre Olaf 14 Fu, Changjian 14 Liu, Shiping 14 Šťovíček, Jan 14 Zacharia, Dan 14 Zhang, Xiaojin 13 Bobiński, Grzegorz 13 Bongartz, Klaus 13 Nguyen Viet Dung 13 Pogorzały, Zygmunt 13 Schroll, Sibylle 13 Trlifaj, Jan jun. 13 Unger, Luise 13 Vitória, Jorge 13 Wemyss, Michael 13 Yao, Hailou 13 Zhou, Yu 12 Drozd, Yuriĭ Anatoliĭovych 12 Guo, Jinyun 12 Lanzilotta, Marcelo Américo 12 Liu, Yuming 12 Pauksztello, David 12 Plamondon, Pierre-Guy 12 Toda, Yukinobu 12 Ye, Yu 11 Bazzoni, Silvana 11 Beligiannis, Apostolos 11 Ding, Ming 11 Ding, Nanqing 11 Farnsteiner, Rolf 11 Geng, Shengfei 11 Sáenz, Corina 11 Szántó, Csaba 11 Xu, Fan 10 Dugas, Alex S. 10 Dupont, Grégoire 10 García, José Luis 10 Le Meur, Patrick 10 Lin, Yanan 10 Liu, Zhong-kui 10 Lu, Jiafeng ...and 1,391 more Authors all top 5 Cited in 204 Serials 542 Journal of Algebra 297 Communications in Algebra 257 Journal of Pure and Applied Algebra 171 Algebras and Representation Theory 142 Advances in Mathematics 114 Transactions of the American Mathematical Society 102 Proceedings of the American Mathematical Society 95 Mathematische Zeitschrift 71 Journal of Algebra and its Applications 43 Archiv der Mathematik 39 Applied Categorical Structures 34 Glasgow Mathematical Journal 33 Science China. Mathematics 29 Linear Algebra and its Applications 27 Acta Mathematica Sinica. English Series 21 Science in China. Series A 20 Inventiones Mathematicae 20 Manuscripta Mathematica 19 Compositio Mathematica 19 Nagoya Mathematical Journal 17 Frontiers of Mathematics in China 16 Mathematische Annalen 16 Pacific Journal of Mathematics 16 Journal of Algebraic Combinatorics 15 Central European Journal of Mathematics 14 Forum Mathematicum 14 Journal of Mathematical Sciences (New York) 13 Israel Journal of Mathematics 13 Colloquium Mathematicum 13 Documenta Mathematica 11 Selecta Mathematica. New Series 10 Duke Mathematical Journal 10 Journal für die Reine und Angewandte Mathematik 10 Algebra Colloquium 10 Representation Theory 9 Bulletin of the London Mathematical Society 9 Journal of the Mathematical Society of Japan 9 Proceedings of the Edinburgh Mathematical Society. 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Series B 6 Journal of the American Mathematical Society 6 Geometry & Topology 6 Journal of the European Mathematical Society (JEMS) 6 Journal of High Energy Physics 6 Journal of \(K\)-Theory 6 Journal of Commutative Algebra 6 Kyoto Journal of Mathematics 5 Rocky Mountain Journal of Mathematics 5 Illinois Journal of Mathematics 5 Publications Mathématiques 5 Osaka Journal of Mathematics 5 Rendiconti del Seminario Matematico della Università di Padova 5 International Journal of Algebra and Computation 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Transformation Groups 5 Taiwanese Journal of Mathematics 5 Forum of Mathematics, Sigma 4 Indian Journal of Pure & Applied Mathematics 4 Ukrainian Mathematical Journal 4 Mathematische Nachrichten 4 Advances in Applied Mathematics 4 Bulletin of the Korean Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Algebra and Discrete Mathematics 4 Algebra & Number Theory 4 European Journal of Mathematics 4 Algebraic Combinatorics 3 Periodica Mathematica Hungarica 3 Arkiv för Matematik 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Canadian Journal of Mathematics 3 Journal of the Korean Mathematical Society 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Quaestiones Mathematicae 3 International Journal of Mathematics 3 IMRN. International Mathematics Research Notices 3 Proceedings of the National Academy of Sciences of the United States of America 3 The Electronic Journal of Combinatorics 3 Séminaire Lotharingien de Combinatoire 3 Communications in Contemporary Mathematics ...and 104 more Serials all top 5 Cited in 39 Fields 2,314 Associative rings and algebras (16-XX) 993 Category theory; homological algebra (18-XX) 558 Commutative algebra (13-XX) 343 Algebraic geometry (14-XX) 186 Group theory and generalizations (20-XX) 166 Combinatorics (05-XX) 138 Nonassociative rings and algebras (17-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 36 Algebraic topology (55-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 26 \(K\)-theory (19-XX) 25 Quantum theory (81-XX) 24 Mathematical logic and foundations (03-XX) 19 Convex and discrete geometry (52-XX) 18 Manifolds and cell complexes (57-XX) 15 Several complex variables and analytic spaces (32-XX) 11 Number theory (11-XX) 9 Topological groups, Lie groups (22-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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