ZHANG Ai-Ping , ZHANG Shun-Hua . SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 2033 -2040 . DOI: 10.1016/S0252-9602(11)60379-2

[1] Bass H. Finitistic dimension and a homological generalization of semiprimary rings. Trans Amer Math Soc, 1960, 95: 466–488

[2] Zimmermann-Huisgen B. Homological domino effects and the first finitistic dimension conjecture. Invent Math, 1992, 108: 369–383

[3] Green E, Kirkman E, Kuzmanovich J. Finitistic dimension of finite dimensional monomial algebras. J Algebra, 1991, 136: 37–51

[4] Green E, Zimmermann-Huisgen B. Finitistic dimension of artinian rings with vanishing radical cube. Math Z, 1991, 206: 505–526

[5] Igusa K, Todorov G. On the finitistic global dimension conjecture for artin algebras//Representations of Algebras and Related Topics. Fields Inst Commun, 45. Providence, RI: Amer Math Soc, 2005: 201–204

[6] Auslander M, Reiten I. Applications of contravariantly finite subcategories. Adv Math, 1991, 86: 111–152

[7] Wang Y. A note on the finitistic dimension conjecture. Comm Algebra, 1994, 22(7): 2525–2528

[8] Xi C C. Representation dimension and quasi-hereditary algebras. Adv Math, 2002, 168: 193–212

[9] Xi C C. On the finitistic dimension conjecture I: related to representation-finite algebras. J Pure Appl Algebra, 2004, 193: 287–305

[10] Xi C C. On the finitistic dimension conjecture II: related to finite global dimension. Adv Math, 2006, 201: 116–142

[11] Xi C C. On the finitistic dimension conjecture III: related to the pair eAe  A. J Algebra, 2008, 319(9): 3666–3688

[12] Zhang A P, Zhang S H. On the finitistic dimemsion conjecture of Artin algebras. J Algebra, 2008, 320: 253–258

[13] Nakayama T. On algebras with complete homology. Abh Math Sem Univ Hamburg, 1958, 22: 300–307

[14] Zimmermann-Huisgen B. The finistic dimemsion conjecture–a tale of 3.5 decates//Fachiui A, Menini C, eds. Abelian Group and Modules. Math Appl, Vol 343. Dordrecht: Kluwer Academic Publishers, 1995: 501–517

[15] Auslander M, Reiten I, Smal S O. Representation Theory of Artin Algebras. Cambridge: CambridgeUniversity Press, 1995

[16] Assem I, Simson D, Skowronski A. Elements of the Representation Theory of Associative Algebras, Vol 1. Cambridge: Cambridge Univerity Press, 2006

[17] Anderson F W, Fuller K R. Rings and Categories of Modules. Springer, 1973

[18] Auslander M. Representation dimension of Artin algebras. Queen Mary College Mathematics Notes, London: Queen Mary College, 1971

[19] Coelho F U, Platzeck M I. On the representation dimemsion of some classes of algebras. J Algebra, 2004, 275(2): 615–628

[20] Ringel C M. The torsionless modules of an Artin algebra. Preprint 2008