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Modules of finite projective dimension and cocovers

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References

  • [AB1] Auslander, M., Buchsbaum, D.: Homological dimension in noetherian rings. Proc. Nat. Acad. Sci. U.S.A.42 (1956), 36–38

    Google Scholar 

  • [AB2] Auslander, M., Buchsbaum, D.: Homological dimension in noetherian rings II. Trans. Amer. Math. Soc.85 (1957), 390–405

    Google Scholar 

  • [AR1] Auslander, M., Reiten, I.: On a generalized version of the Nakayama conjecture. Proc. Amer. Math. Soc.52 (1975), 69–74

    Google Scholar 

  • [AR2] Auslander, M., Reiten, I.: Applications of contravariantly finite subcategories. Adv. Math.86 (1991), 111–152

    Google Scholar 

  • [AR3] Auslander, M., Reiten, I.: Cohen-Macaulay and Gorenstein Artin Algebra. In Progress in Math., Birkhäuser Verlag Basel95 (1991), 221–246

  • [AS1] Auslander, M., Smalø, S.: Preprojective modules over Artin algebras. J. Algebra66 (1980), 61–122

    Google Scholar 

  • [AS2] Auslander, M., Smalø, S.: Almost split sequences in subcategories. J. Algebra69 (1981), 426–454

    Google Scholar 

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

    Google Scholar 

  • [CH] Carlson, J.F., Happel, D.: Contravariantly finite subcategories and irreducible maps. Proc. Amer. Math. Soc.117 (1993), 61–65

    Google Scholar 

  • [CHU] Coelho, F., Happel, D., Unger, L.: Complements to partial tilting modules. J. Algebra, to appear

  • [GKK] Green, E., Kirkmann, E., Kuzmanovich, J.: Finitistic dimension of finite dimensional monomial algebras. J. Algebra136 (1991), 37–51

    Google Scholar 

  • [GZ] Green, E., Zimmermann Huisgen, B.: Finitistic dimension of Artinian rings with vanishing radical cube. Math. Zeitschrift206 (1991), 505–526

    Google Scholar 

  • [H] Happel, D.: On the derived category of a finite-dimensional algebra. Comment. Math. Helv.62 (1987) 339–389

    Google Scholar 

  • [HU] Happel, D., Unger, L.: Partial tilting modules and covariantly finite subcategories. Comm. Alg.22 (1994) 1723–1727

    Google Scholar 

  • [IST] Igusa, K., Smalø, S., Todorov, G.: Finite projectivity and contravariantly finite subcategories. Proc. Amer. Math. Soc.109 (1990), 937–941

    Google Scholar 

  • [IZ] Igusa, K., Zacharia, D.: Syzygy pairs in a monomial algebra. Proc. Amer. Math. Soc.108 (1990), 601–604

    Google Scholar 

  • [J] Jans, J.P.: Some genralizations of finite projective dimension. Illinois J. Math.5 (1961) 334–344

    Google Scholar 

  • [N] Nakayama, T.: On algebras with complete homology. Abh. Math. Sem. Univ. Hamburg22 (1958), 300–307

    Google Scholar 

  • [R] Ringel, C.M.: Tame algebras and integral quadratic forms. Springer Lecture Notes1099 (1984)

  • [S] Serre, J.-P.: Sur la dimension homologique des anneaux et des modules noethériens. Proc. Intl. Symp. on Algebraic Number Theory, Tokyo (1955) 175–189

  • [U] Unger, L.: On the simplicial complex of exceptional modules. Habilitationsschrift, Uni Paderborn (1993)

  • [W] Wakamatsu, T.: Stable equivalence of selfinjective algebras and a generalization of tilting modules. J. Algebra134 (1990), 289–325

    Google Scholar 

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Dedicated to the memory of Maurice Auslander

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Happel, D., Unger, L. Modules of finite projective dimension and cocovers. Math. Ann. 306, 445–457 (1996). https://doi.org/10.1007/BF01445260

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