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Original Articles

On Characteristic Modules of Graded Quasi-hereditary Algebras

Pages 2919-2928 | Received 01 Apr 2002, Accepted 01 Feb 2004, Published online: 31 Aug 2006

References

  • Auslander , M. and Reiten , I. 1991 . Applications of contravariantly finite subcategories . Advances Math. , 86 : 111 – 152 .
  • Cline , E. , Parshall , B. J. and Scott , L. L. 1988 . Finite dimensional algebras and highest weight categories . J. Reine Angew. Math. , 391 : 85 – 99 .
  • Cline , E. , Parshall , B. J. and Scott , L. L. 1990 . Integral and graded quasi-hereditary algebras I . J. Algebra , 131 : 126 – 160 . [CROSSREF]
  • Cohen , M. and Montgomery , S. 1984 . Group-graded rings, smash products and groups actions . Trans. AMS , 282 : 237 – 258 .
  • Deng , B. M. and Zhu , B. 2001 . On Δ-good module categories without short cycles . Proc. AMS , 129 ( 1 ) : 69 – 77 . [CROSSREF]
  • Dlab , V. and Ringel , C. M. 1992 . “ The module theoretical approach to quasi-hereditary algebras ” . In Representations od Algebras and Related Topics , LMS Lecture Notes Series, 168. London Mathematical Society Edited by: Tachikawa , H. and Brenner , S. 200 – 224 .
  • Gordon , R. and Green , E. L. 1982 . Representation theory of graded Artin algebras . J. Algebra , 76 : 138 – 152 . [CROSSREF]
  • Green , E. L. and Marcos , E. N. 1997 . Graded rings of local finite representation type . Questions Math. , 20 : 215 – 232 .
  • Happel , D. 1988 . Triangulated Categories in the Representation Theory of Finite Dimensional Algebras , LMN 119 London Mathematical Society .
  • Klucznik , M. and König , S. 1999 . Characteristic tilting modules over quasi-hereditary algebras. SFB343 (Universität Bielefeld) Preprint E99-004
  • Năstăsescu , C. and Oystaeyen , Van. F. 1982 . Graded Ring Theory , North-Holland Mathematical Library 28 Amsterdam–New York : North-Holland Publishing Co .
  • Ringel , C. M. 1984 . Tame Algebras and Integral Quadratic Form , LNM 1099 Berlin–Heidelberg–New York
  • Ringel , C. M. 1991 . The category of modules with a good filtration over a quasi-hereditary algebra has almost split sequences . Math. Z. , 208 : 209 – 223 .
  • Zhu , B. 1999 . Smash products of quasi-hereditary graded algebras . Arch. Math. , 72 : 433 – 437 . [CROSSREF]
  • Zhu , B. and Caenepeel , S. 2004 . On good filtration dimensions for standardly stratified algebras . Comm. Algebra , 32 ( 4 ) : 1603 – 1614 . [CROSSREF]
  • #Communicated by M. Cohen.

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