Edit Profile (opens in new tab) Reiten, Idun Co-Author Distance Author ID: reiten.idun Published as: Reiten, Idun; Reiten, I. External Links: Women in Mathematics · MGP · Wikidata · GND · IdRef Documents Indexed: 139 Publications since 1970, including 6 Books 6 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 45 Co-Authors with 121 Joint Publications 670 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 12 Iyama, Osamu 8 Solberg, Øyvind 7 Marsh, Bethany Rose 7 Thomas, Hugh Ross 6 Keller, Bernhard 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 2 Reading, Nathan 1 Adachi, Takahide 1 Beligiannis, Apostolos 1 Buchsbaum, David A. 1 Burban, Igor 1 Caldero, Philippe 1 Cappa, Juan Ángel 1 Demonet, Laurent 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 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 1 Transactions of the American Mathematical Society. Series B all top 5 Fields 136 Associative rings and algebras (16-XX) 56 Category theory; homological algebra (18-XX) 31 Commutative algebra (13-XX) 13 Algebraic geometry (14-XX) 11 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 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 5,984 times in 3,097 Documents Cited by ▼ Year ▼ Representation theory of Artin algebras. Zbl 0834.16001Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 982 1995 Tilting theory and cluster combinatorics. Zbl 1127.16011Buan, Aslak Bakke; Marsh, Bethany Rose; Reineke, Markus; Reiten, Idun; Todorov, Gordana 420 2006 Applications of contravariantly finite subcategories. Zbl 0774.16006Auslander, Maurice; Reiten, Idun 349 1991 Tilting in abelian categories and quasitilted algebras. Zbl 0849.16011Happel, Dieter; Reiten, Idun; Smalø, Sverre O. 273 1996 Representation theory of Artin algebras. III: Almost split sequences. Zbl 0331.16027Auslander, Maurice; Reiten, Idun 257 1975 Homological and homotopical aspects of torsion theories. Zbl 1124.18005Beligiannis, Apostolos; Reiten, Idun 218 2007 \(\tau\)-tilting theory. Zbl 1330.16004Adachi, Takahide; Iyama, Osamu; Reiten, Idun 207 2014 Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007Keller, Bernhard; Reiten, Idun 192 2007 Cluster-tilted algebras. Zbl 1123.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 178 2007 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009Reiten, I.; Van den Bergh, M. 157 2002 Cluster structures for 2-Calabi-Yau categories and unipotent groups. Zbl 1181.18006Buan, A. B.; Iyama, O.; Reiten, I.; Scott, J. 139 2009 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 133 1975 Representation theory of Artin algebras. IV: Invariants given by almost split sequences. Zbl 0396.16007Auslander, Maurice; Reiten, Idun 131 1977 Coxeter functors without diagrams. Zbl 0421.16016Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun 111 1979 Stable equivalence of dualizing R-varieties. Zbl 0285.16027Auslander, Maurice; Reiten, Idun 96 1974 Skew group algebras in the representation theory of Artin algebras. Zbl 0549.16017Reiten, Idun; Riedtmann, Christine 82 1985 On a generalized version of the Nakayama conjecture. Zbl 0337.16004Auslander, Maurice; Reiten, Idun 76 1975 Cluster mutation via quiver representations. Zbl 1193.16016Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 71 2008 Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Zbl 1162.16007Iyama, Osamu; Reiten, Idun 71 2008 Cohen-Macaulay and Gorenstein Artin algebras. Zbl 0776.16003Auslander, Maurice; Reiten, Idun 70 1991 Representation theory of Artin algebras. V: Methods for computing almost split sequences and irreducible morphisms. Zbl 0396.16008Auslander, Maurice; Reiten, Idun 65 1977 Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun 61 2008 Mutation of cluster-tilting objects and potentials. Zbl 1285.16012Buan, A. B.; Iyama, O.; Reiten, I.; Smith, D. 60 2011 Acyclic Calabi-Yau categories. Zbl 1171.18008Keller, Bernhard; Reiten, Idun 58 2008 Cluster-tilted algebras of finite representation type. Zbl 1116.16012Buan, Aslak Bakke; Marsh, Robert J.; Reiten, Idun 52 2006 The converse to a theorem of Sharp on Gorenstein modules. Zbl 0235.13016Reiten, Idun 51 1972 Representation theory of Artin algebras. VI: A functorial approach to almost split sequences. Zbl 0446.16027Auslander, Maurice; Reiten, Idun 46 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 46 2007 \(k\)-Gorenstein algebras and syzygy modules. Zbl 0803.16016Auslander, Maurice; Reiten, Idun 43 1994 Modules determined by their composition factors. Zbl 0539.16011Auslander, Maurice; Reiten, Idun 41 1985 Stable equivalence of Artin algebras. Zbl 0276.16020Auslander, Maurice; Reiten, Idun 41 1973 Syzygy modules for Noetherian rings. Zbl 0857.16006Auslander, Maurice; Reiten, Idun 40 1996 Stable categories of Cohen-Macaulay modules and cluster categories. Zbl 1450.18003Amiot, Claire; Iyama, Osamu; Reiten, Idun 38 2015 Minimal injective resolutions with applications to dualizing modules and Gorenstein modules. Zbl 0321.13013Fossum, Robert; Foxby, Hans-Bjorn; Griffith, Phillip; Reiten, Idun 37 1975 Trivial extensions of abelian categories and applications to rings: An expository account. Zbl 0255.16014Fossum, R.; Griffith, P.; Reiten, I. 37 1972 Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002Reiten, Idun; Van den Bergh, Michel 35 1989 Generalized double tilted algebras. Zbl 1071.16011Reiten, Idun; Skowroński, Andrzej 34 2004 Exact categories and vector space categories. (With an appendix by B. Keller). Zbl 0916.16002Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind 33 1999 Characterizations of algebras with small homological dimensions. Zbl 1051.16011Reiten, Idun; Skowroński, Andrzej 31 2003 Gentle algebras are Gorenstein. Zbl 1148.16301Geiß, Ch.; Reiten, I. 31 2005 Wakamatsu tilting modules. Zbl 1075.16006Mantese, Francesca; Reiten, Idun 29 2004 Grothendieck groups of algebras and orders. Zbl 0576.18008Auslander, Maurice; Reiten, Idun 28 1986 Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 25 2018 Hereditary abelian categories with tilting object over arbitrary base fields. Zbl 1015.18007Happel, Dieter; Reiten, Idun 24 2002 Infinite dimensional representations of canonical algebras. Zbl 1192.16004Reiten, Idun; Ringel, Claus Michael 24 2006 Piecewise hereditary algebras. Zbl 0865.16009Happel, Dieter; Reiten, Idun; Smalø, Sverre 23 1996 Note on rings of finite representations type and decompositions of modules. Zbl 0281.16019Fuller, K. R.; Reiten, Idun 23 1975 Preprojective algebras and \(c\)-sortable words. Zbl 1246.13033Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana 22 2012 Short chains and short cycles of modules. Zbl 0794.16013Reiten, I.; Skowroński, A.; Smalø, S. O. 21 1993 Hereditary noetherian categories of positive Euler characteristic. Zbl 1105.18010Lenzing, Helmut; Reiten, Idun 21 2006 Lattice structure of torsion classes for path algebras. Zbl 1397.16011Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana 20 2015 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 McKay quivers and extended Dynkin diagrams. Zbl 0588.20001Auslander, Maurice; Reiten, Idun 19 1986 Cluster categories. Zbl 1264.16017Reiten, Idun 19 2011 \(D\text{Tr}\)-periodic modules and functors. Zbl 0859.16008Auslander, Maurice; Reiten, Idun 18 1996 Homologically finite subcategories. Zbl 0774.16005Auslander, Maurice; Reiten, Idun 18 1992 Acyclic quivers of finite mutation type. Zbl 1116.16013Buan, Aslak Bakke; Reiten, Idun 17 2006 On the representation type of triangular matrix rings. Zbl 0316.16034Auslander, Maurice; Reiten, Idun 16 1976 Almost split sequences for Cohen-Macaulay-modules. Zbl 0611.13009Auslander, Maurice; Reiten, Idun 16 1987 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 Denominators of cluster variables. Zbl 1237.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 15 2009 Three kinds of mutation. Zbl 1247.16008Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 15 2011 Dominant dimension and tilting modules. Zbl 1468.16026Nguyen, Van C.; Reiten, Idun; Todorov, Gordana; Zhu, Shijie 15 2019 The ubiquity of generalized cluster categories. Zbl 1268.18007Amiot, Claire; Reiten, Idun; Todorov, Gordana 14 2011 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 Stable equivalence of dualizing R-varieties. V: Artin algebras stably equivalent to hereditary algebras. Zbl 0312.16018Auslander, Maurice; Reiten, Idun 13 1975 Quotient closed subcategories of quiver representations. Zbl 1366.16010Oppermann, Steffen; Reiten, Idun; Thomas, Hugh 13 2015 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 From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. Zbl 1246.05171Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 13 2012 The Cohen-Macaulay type of Cohen-Macaulay rings. Zbl 0744.13003Auslander, Maurice; Reiten, Idun 12 1989 Uniserial functors. Zbl 0454.16013Auslander, Maurice; Reiten, Idun 11 1980 Directing objects in hereditary categories. Zbl 0923.16012Happel, Dieter; Reiten, Idun 11 1998 On a theorem of E. Green on the dual of the transpose. Zbl 0754.16008Auslander, Maurice; Reiten, Idun 11 1991 Hereditary categories with tilting object. Zbl 0937.18014Happel, Dieter; Reiten, Idun 11 1999 Introduction to \(\tau\)-tilting theory. Zbl 1355.16001Iyama, Osamu; Reiten, Idun 11 2014 Stable equivalence of dualizing R-varieties. III: Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties. Zbl 0312.16016Auslander, Maurice; Reiten, Idun 10 1975 Stable equivalence of self-injective algebras. Zbl 0325.16016Reiten, Idun 10 1976 Lattice theory of torsion classes: beyond \(\tau\)-tilting theory. Zbl 07687335Demonet, Laurent; Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 10 2023 Galois actions on rings and finite Galois coverings. Zbl 0677.16024Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 10 1989 Almost split sequences in dimension two. Zbl 0625.13013Auslander, M.; Reiten, I. 10 1987 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 Dynkin diagrams and representation theory of algebras. Zbl 0940.16009Reiten, Idun 9 1997 Abelian categories, almost split sequences, and comodules. Zbl 1068.18010Kleiner, Mark; Reiten, Idun 9 2005 Stable equivalence of dualizing R-varieties. II: Hereditary dualizing R- varieties. Zbl 0312.16015Auslander, Maurice; Reiten, Idun 9 1975 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 2-Auslander algebras associated with reduced words in Coxeter groups. Zbl 1277.16012Iyama, Osamu; Reiten, Idun 9 2011 The use of almost split sequences in the representation theory of Artin algebras. Zbl 0486.16018Reiten, Idun 8 1982 Modules with waists. Zbl 0304.16007Auslander, M.; Green, Edward L.; Reiten, Idun 8 1975 Tilting theory and quasitilted algebras. Zbl 0906.16002Reiten, Idun 8 1998 On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010Donkin, Stephen; Reiten, Idun 7 1994 Cohen-Macaulay modules for graded Cohen-Macaulay rings and their completions. Zbl 0731.13007Auslander, Maurice; Reiten, Idun 7 1989 Stable equivalence of dualizing R-varieties. VI: Nakayama dualizing R- varieties. Zbl 0312.16019Reiten, Idun 6 1975 Commutative n-Gorenstein rings. Zbl 0256.13016Reiten, Idun; Fossum, Robert 6 1972 On the construction of ring extensions. Zbl 0319.16011Green, Edward L.; Reiten, Idun 5 1976 Short chains and regular components. Zbl 0782.16008Reiten, Idun; Skowroński, Andrzej; Smalø, Sverre O. 5 1993 Lattice theory of torsion classes: beyond \(\tau\)-tilting theory. Zbl 07687335Demonet, Laurent; Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 10 2023 Dominant dimension and tilting modules. Zbl 1468.16026Nguyen, Van C.; Reiten, Idun; Todorov, Gordana; Zhu, Shijie 15 2019 Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 25 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 38 2015 Lattice structure of torsion classes for path algebras. Zbl 1397.16011Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana 20 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 207 2014 Introduction to \(\tau\)-tilting theory. Zbl 1355.16001Iyama, Osamu; Reiten, Idun 11 2014 Preprojective algebras and \(c\)-sortable words. Zbl 1246.13033Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana 22 2012 From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. Zbl 1246.05171Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 13 2012 Mutation of cluster-tilting objects and potentials. Zbl 1285.16012Buan, A. B.; Iyama, O.; Reiten, I.; Smith, D. 60 2011 Cluster categories. Zbl 1264.16017Reiten, Idun 19 2011 Three kinds of mutation. Zbl 1247.16008Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh 15 2011 The ubiquity of generalized cluster categories. Zbl 1268.18007Amiot, Claire; Reiten, Idun; Todorov, Gordana 14 2011 2-Auslander algebras associated with reduced words in Coxeter groups. Zbl 1277.16012Iyama, Osamu; Reiten, Idun 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. 139 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 71 2008 Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Zbl 1162.16007Iyama, Osamu; Reiten, Idun 71 2008 Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun 61 2008 Acyclic Calabi-Yau categories. Zbl 1171.18008Keller, Bernhard; Reiten, Idun 58 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 218 2007 Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007Keller, Bernhard; Reiten, Idun 192 2007 Cluster-tilted algebras. Zbl 1123.16009Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun 178 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 46 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 420 2006 Cluster-tilted algebras of finite representation type. Zbl 1116.16012Buan, Aslak Bakke; Marsh, Robert J.; Reiten, Idun 52 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 17 2006 Gentle algebras are Gorenstein. Zbl 1148.16301Geiß, Ch.; Reiten, I. 31 2005 Abelian categories, almost split sequences, and comodules. Zbl 1068.18010Kleiner, Mark; Reiten, Idun 9 2005 Generalized double tilted algebras. Zbl 1071.16011Reiten, Idun; Skowroński, Andrzej 34 2004 Wakamatsu tilting modules. Zbl 1075.16006Mantese, Francesca; Reiten, Idun 29 2004 Characterizations of algebras with small homological dimensions. Zbl 1051.16011Reiten, Idun; Skowroński, Andrzej 31 2003 Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009Reiten, I.; Van den Bergh, M. 157 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 A combinatorial characterization of hereditary categories containing simple objects. Zbl 1050.18008Happel, Dieter; Reiten, Idun 1 2002 Hereditary categories with Serre duality. Zbl 1087.18500Reiten, 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 33 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 Selected works of Maurice Auslander. Part 2. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01022Auslander, Maurice 3 1999 Additive functions for quivers with relations. Zbl 0984.16015Lenzing, Helmut; Reiten, Idun 3 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 11 1998 Tilting theory and quasitilted algebras. Zbl 0906.16002Reiten, Idun 8 1998 Homological properties of almost split sequences. Zbl 0944.16012Reiten, Idun 1 1998 Dynkin diagrams and representation theory of algebras. Zbl 0940.16009Reiten, Idun 9 1997 Tilting in abelian categories and quasitilted algebras. Zbl 0849.16011Happel, Dieter; Reiten, Idun; Smalø, Sverre O. 273 1996 Syzygy modules for Noetherian rings. Zbl 0857.16006Auslander, Maurice; Reiten, Idun 40 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 18 1996 An introduction to quasitilted algebras. Zbl 0879.16003Happel, Dieter; Reiten, Idun 2 1996 Homological theory of Noetherian rings. Zbl 0955.16009Reiten, Idun 1 1996 Representation theory of Artin algebras. Zbl 0834.16001Auslander, Maurice; Reiten, Idun; Smalø, Sverre O. 982 1995 \(k\)-Gorenstein algebras and syzygy modules. Zbl 0803.16016Auslander, Maurice; Reiten, Idun 43 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. 21 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 349 1991 Cohen-Macaulay and Gorenstein Artin algebras. Zbl 0776.16003Auslander, Maurice; Reiten, Idun 70 1991 On a theorem of E. Green on the dual of the transpose. Zbl 0754.16008Auslander, Maurice; Reiten, Idun 11 1991 Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002Reiten, Idun; Van den Bergh, Michel 35 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 28 1986 McKay quivers and extended Dynkin diagrams. Zbl 0588.20001Auslander, Maurice; Reiten, Idun 19 1986 Skew group algebras in the representation theory of Artin algebras. Zbl 0549.16017Reiten, Idun; Riedtmann, Christine 82 1985 Modules determined by their composition factors. Zbl 0539.16011Auslander, Maurice; Reiten, Idun 41 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 8 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 111 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 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,603 Authors 72 Skowroński, Andrzej 68 Reiten, Idun 58 Assem, Ibrahim 52 Huang, Zhaoyong 47 Iyama, Osamu 42 Zhang, Pu 42 Zhu, Bin 39 Schiffler, Ralf 35 Coelho, Flávio Ulhoa 35 Wei, Jiaqun 33 Happel, Dieter 32 Trepode, Sonia Elisabet 31 Auslander, Maurice 29 Erdmann, Karin 29 Zhou, Panyue 28 Buan, Aslak Bakke 28 Chen, Xiaowu 27 Igusa, Kiyoshi 26 Angeleri Hügel, Lidia 26 Jørgensen, Peter Bjørn 26 Todorov, Gordana 25 Green, Edward Lee 25 Malicki, Piotr 25 Saorín, Manuel 24 Ringel, Claus Michael 24 Simson, Daniel 24 Xi, Changchang 23 Brüstle, Thomas 23 Chaio, Claudia 22 Bautista, Raymundo 22 Krause, Henning 22 Solberg, Øyvind 21 Li, Fang 21 Takahashi, Ryo 20 Marcos, Eduardo N. 20 Platzeck, María Inés 20 Rump, Wolfgang 20 Thomas, Hugh Ross 19 Geiss, Christof 19 Hafezi, Rasool 19 König, Steffen 19 Marsh, Bethany Rose 19 Yamagata, Kunio 18 Baur, Karin 18 Gao, Nan 18 Holm, Thorsten 18 Martinez-Villa, Roberto 18 Mendoza, Octavio 18 Oppermann, Steffen 18 Schröer, Jan 17 Keller, Bernhard 17 Marczinzik, René 17 Psaroudakis, Chrysostomos 16 Asadollahi, Javad J. 16 de la Peña, José Antonio 16 Fu, Changjian 16 Kerner, Otto 16 Šťovíček, Jan 16 Zhang, Xiaojin 16 Zhou, Yu 15 Bobiński, Grzegorz 15 Leclerc, Bernard 15 Lenzing, Helmut 15 Lu, Ming 15 Schroll, Sibylle 15 Smalø, Sverre Olaf 15 Yao, Hailou 15 Zacharia, Dan 14 Bongartz, Klaus 14 Farnsteiner, Rolf 14 Liu, Shiping 14 Mao, Lixin 14 Plamondon, Pierre-Guy 14 Szántó, Csaba 14 Wemyss, Michael 14 Yang, Dong 13 Geng, Shengfei 13 Guo, Jinyun 13 Liu, Yuming 13 Nguyen Viet Dung 13 Pauksztello, David 13 Pogorzały, Zygmunt 13 Trlifaj, Jan jun. 13 Unger, Luise 13 Vitória, Jorge 12 Ding, Nanqing 12 Drozd, Yuriĭ Anatoliĭovych 12 Lanzilotta, Marcelo Américo 12 Lin, Yanan 12 Sáenz, Corina 12 Toda, Yukinobu 12 Ye, Yu 12 Zhao, Tiwei 11 Bazzoni, Silvana 11 Beligiannis, Apostolos 11 Crawley-Boevey, William 11 D’Este, Gabriella 11 Ding, Ming 11 Hu, Jiangsheng 11 Hu, Yonggang ...and 1,503 more Authors all top 5 Cited in 216 Serials 575 Journal of Algebra 313 Communications in Algebra 288 Journal of Pure and Applied Algebra 196 Algebras and Representation Theory 147 Advances in Mathematics 115 Transactions of the American Mathematical Society 105 Mathematische Zeitschrift 103 Proceedings of the American Mathematical Society 79 Journal of Algebra and its Applications 44 Archiv der Mathematik 39 Applied Categorical Structures 38 Glasgow Mathematical Journal 35 Science China. Mathematics 30 Linear Algebra and its Applications 29 Acta Mathematica Sinica. English Series 23 Nagoya Mathematical Journal 21 Science in China. Series A 20 Compositio Mathematica 20 Inventiones Mathematicae 20 Manuscripta Mathematica 19 Colloquium Mathematicum 18 Journal of Algebraic Combinatorics 17 Frontiers of Mathematics in China 16 Bulletin of the London Mathematical Society 16 Mathematische Annalen 16 Pacific Journal of Mathematics 15 Central European Journal of Mathematics 14 Forum Mathematicum 14 Journal of Mathematical Sciences (New York) 14 Documenta Mathematica 13 Israel Journal of Mathematics 13 Selecta Mathematica. New Series 12 Czechoslovak Mathematical Journal 11 Journal für die Reine und Angewandte Mathematik 10 Duke Mathematical Journal 10 Journal of the Mathematical Society of Japan 10 Algebra Colloquium 10 Representation Theory 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Journal of the London Mathematical Society. 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Académie des Sciences, Paris 7 Journal of Commutative Algebra 7 Forum of Mathematics, Sigma 6 Rocky Mountain Journal of Mathematics 6 Beiträge zur Algebra und Geometrie 6 Annales de l’Institut Fourier 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Chinese Annals of Mathematics. Series B 6 Journal of the American Mathematical Society 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Geometry & Topology 6 Journal of the European Mathematical Society (JEMS) 6 Journal of \(K\)-Theory 6 Kyoto Journal of Mathematics 5 Illinois Journal of Mathematics 5 Publications Mathématiques 5 Journal of the Korean Mathematical Society 5 Mathematische Nachrichten 5 Osaka Journal of Mathematics 5 Rendiconti del Seminario Matematico della Università di Padova 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Séminaire Lotharingien de Combinatoire 5 Transformation Groups 5 Taiwanese Journal of Mathematics 5 Communications in Contemporary Mathematics 5 Algebra & Number Theory 5 Electronic Research Archive 4 Indian Journal of Pure & Applied Mathematics 4 Periodica Mathematica Hungarica 4 Ukrainian Mathematical Journal 4 Canadian Journal of Mathematics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Advances in Applied Mathematics 4 Bulletin of the Korean Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 The Electronic Journal of Combinatorics 4 Annals of Combinatorics 4 Algebra and Discrete Mathematics 4 Oberwolfach Reports 4 São Paulo Journal of Mathematical Sciences 4 European Journal of Mathematics 4 Algebraic Combinatorics 3 Arkiv för Matematik ...and 116 more Serials all top 5 Cited in 39 Fields 2,513 Associative rings and algebras (16-XX) 1,089 Category theory; homological algebra (18-XX) 601 Commutative algebra (13-XX) 370 Algebraic geometry (14-XX) 204 Group theory and generalizations (20-XX) 180 Combinatorics (05-XX) 151 Nonassociative rings and algebras (17-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 41 Order, lattices, ordered algebraic structures (06-XX) 39 Algebraic topology (55-XX) 29 \(K\)-theory (19-XX) 29 Quantum theory (81-XX) 26 Mathematical logic and foundations (03-XX) 24 Convex and discrete geometry (52-XX) 20 Manifolds and cell complexes (57-XX) 18 Several complex variables and analytic spaces (32-XX) 11 Number theory (11-XX) 10 Topological groups, Lie groups (22-XX) 8 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 2 Difference and functional equations (39-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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