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Original Articles

Finitistic n-Self-Cotilting Modules

Pages 3152-3170 | Received 24 Jul 2007, Published online: 22 Sep 2009

REFERENCES

  • Albrecht , U. ( 1989 ). A-reflexive abelian groups . Houston J. Math. 15 ( 4 ): 459 – 480 .
  • Angeleri Hügel , L. ( 2000 ). Finitely cotilting modules . Comm. Algebra 28 ( 4 ): 2147 – 2172 .
  • Angeleri Hügel , L. ( 2003 ). Endocoherent modules . Pac. J. Math. 212 ( 1 ): 1 – 11 .
  • Angeleri Hügel , L. , Coelho , F. U. ( 2001 ). Infinitely generated tilting modules of finite projective dimension . Forum Math. 13 : 239 – 250 .
  • Angeleri Hügel , L. , Herbera , D. , Trlifaj , J. ( 2006 ). Tilting modules and Gorenstein rings . Forum Math. 18 : 217 – 235 .
  • Angeleri Hügel , L. , Valenta , H. ( 1999 ). A duality result for almost split sequences . Colloq. Math. 80 ( 2 ): 267 – 292 .
  • Arnold , D. M. ( 1982 ). Finite Rank Torsion Free Groups and Rings . Lecture Notes in Mathematics 931. Berlin–Heideberg–New York : Spinger-Verlag .
  • Bazzoni , S. (2004). A characterization of n-cotilting and n-tilting modules. J. Algebra 273:359–372.
  • Brown , K. S. ( 1994 ). Cohomology of Groups . Graduate Texts in Mathematics, 87 . New York : Springer-Verlag .
  • Cartan , H. , Eilenberg , S. ( 1956 ). Homological Algebra . London : Oxford University Press .
  • Colby , R. , Fuller , K. ( 2001 ). Costar modules . J. Algebra 242 ( 1 ): 146 – 159 .
  • Colby , R. R. , Fuller , K. R. ( 2004 ). Equivalence and Duality for Module Categories. With Tilting and Cotilting for Rings . Cambridge Tracts in Mathematics , 161 . Cambridge : Cambridge University Press .
  • Ecklof , P. C. , Mekler , A. H. ( 2002 ). Almost Free Modules (Set Theoretic Methods) . Mathematical Library 65 . Amsterdam : North-Holland .
  • Fuchs , L. ( 1970/1973 ). Infinite Abelian Groups, Vols. I and II . Pure and Applied Mathematics . Vol. 36 . New York–London : Academic Press .
  • Mekler , A. ( 1980 ). How to construct almost free groups . Canad. J. Math. 32 : 1206 – 1228 .
  • Tonolo , A. ( 2002 ). On a finitistic cotilting type duality . Comm. Algebra 30 ( 10 ): 5091 – 5106 .
  • Warfield , R. B. Jr. ( 1968 ). Homomorphisms and duality for torsion-free groups . Math. Z. 107 : 189 – 200 .
  • Wei , J. ( 2005 ). n-star modules and n-tilting modules . J. Algebra 283 ( 2 ): 711 – 722 .
  • Wei , J. , Huang , Z. , Tong , W. , Huang , J. ( 2003 ). Tilting modules of finite projective dimension and a generalization of *-modules . J. Algebra 268 ( 2 ): 404 – 418 .
  • Wisbauer , R. ( 2002 ). Cotilting Objects and Dualities . Representations of algebras (Sao Paulo, 1999). Lecture Notes in Pure and Appl. Math., 224 . New York : Dekker , pp. 215 – 233 .
  • Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Philadelphia : Gordon and Breach Science Publishers .
  • Communicated by R. Wisbauer.

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