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Original Articles

ON Δ-GOOD MODULE CATEGORIES ARISING FROM HEREDITARY ALGEBRAS

Pages 5575-5587 | Received 01 May 2000, Published online: 16 Aug 2006

REFERENCES

  • Assem , I. 1990 . Tilting Theory-an Introduction, in Topics in Algebra Vol. 26 , 127 – 180 . Warszawa : Banach Center Publications .
  • Auslander , M. and Reiten , I. 1991 . Applications of Contravariantly Finite Subcategories . Advances in Math. , 86 : 111 – 152 .
  • Bongartz , K. 1983 . Algebras and Quadratic Forms . J. London Math. Soc. , 28 : 461 – 469 .
  • Crawley-Boevey , W. Exceptional Sequences of Representations of Quivers . Representation Theory of Algebras; CMS Conference Proceedings . Vol. 14 , pp. 117 – 124 .
  • Cline , E. , Parshall , B. and Scott , L. 1988 . Finite Dimensional Algebras and Highest Weight Categories . J. Reine Angew. Math. , 391 : 85 – 99 .
  • Deng , B. M. 1999 . Quasi-Hereditary Algebras and Quadratic Forms Vol. SFB 343 , Universität Bielefeld . Preprint 99–019. To appear in J. Algebra
  • Dlab , V. and Ringel , C. M. 1992 . “ The Module Theoretical Approach to Quasi-hereditary Algebras ” . In Representations of Algebras and Related Topics Edited by: Tachikawa , H. and Brenner , S. Vol. 168 , 200 – 224 . Cambridge Univ. Press . LMS Lecture Notes Series
  • Happel , D. 1988 . Triangulated Categories in the Representation Theory of Finite Dimensional Algebras Vol. 119 , Cambridge Univ. Press . LMS Lecture Notes Series
  • Happel , D. and Ringel , C. M. 1982 . Tilted Algebras . Trans. Amer. Math. Soc. , 274 : 399 – 443 .
  • Kac , V. 1980 . Infinite Root Systems, Representations of Graphs and Invariant Theory . Invent. Math. , 56 : 57 – 92 .
  • Kerner , O. 1989 . Tilting Wild Algebras . J. London Math. Soc. , 39 ( 2 ) : 39 – 47 .
  • Liu , S. X. and Xi , C. C. 1999 . Quadratic Forms for Δ-good Module Categories of Quasi-Hereditary Algebras . Comm. Algebra , 27 ( 8 ) : 3719 – 3725 .
  • Ringel , C. M. 1994 . The Braid Group Action on the Set of Exceptional Sequences of a Hereditary Artin Algebra . Contemp. Math. , 171 : 339 – 352 .
  • Ringel , C. M. 1976 . Representations of K-species and Bimodules . J. Algebra , 41 : 269 – 302 .
  • Ringel , C. M. 1983 . Bricks in Hereditary Length Categories . Result. Math. , 6 : 64 – 70 .
  • Ringel , C. M. 1984 . Tame Algebras and Integral Quadratic Forms 1099 Berlin, New York : Springer-Verlag . LNM
  • Ringel , C. M. 1991 . The Category of Modules with a Good Filtration Over a Quasi-hereditary Algebra has Almost Split Sequence . Math. Z. , 208 : 209 – 223 .
  • Ringel , C. M. On Contravariantly Finite Subcategories . Proceedings of the Sixth International Conference on Representations of Algebras . Vol. 14 , Carleton-Ottawa Math. Lecture Note series

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