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Ding projective modules with respect to a semidualizing module

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In this paper, we introduce and discuss the notion of DC- projective modules over commutative rings, where C is a semidualizing module. This extends Gillespie and Ding, Mao’s notion of Ding projective modules. The properties of DC-projective dimensions are also given.

Abstract

In this paper, we introduce and discuss the notion of DC- projective modules over commutative rings, where C is a semidualizing module. This extends Gillespie and Ding, Mao’s notion of Ding projective modules. The properties of DC-projective dimensions are also given.

참고문헌 (19)

  1. F. W. Anderson, "Rings and Categories of Modules" (1992), Springer
  2. M. Auslander, "Stable Module Theory" (1969), American Mathematical Society
  3. L. W. Christensen, "Gorenstein Dimensions" (2000), Springer
  4. L. W. Christensen, "On Gorenstein projective, injective and flat dimensions−a functorial description with applications", J. Algebra, 302(1), pp.231~279 (2006)
  5. N. Ding, "Strongly Gorenstein flat modules", J. Aust. Math. Soc, 86(3), pp.323~338 (2009)
  6. N. Ding, "Gorenstein FP-injective and Gorenstein flat modules", J. Algebra Appl, 7(4), pp.491~506 (2008)
  7. E. E. Enochs, "Relative Homological Algebra" (2000), Walter de Gruyter
  8. H.-B. Foxby, "Gorenstein modules and related modules", Math. Scand, 31, pp.267~284 (1972)
  9. Y. Geng, "W-Gorenstein modules", J. Algebra, 325, pp.132~146 (2011)
  10. J. Gillespie, "Model structures on modules over Ding-Chen rings", Homology, Homotopy Appl, 12(1), pp.61~73 (2010)
  11. E. S. Golod, "G-dimension and generalized perfect ideals, Algebraic geometry and its applications", Trudy Mat. Inst. Steklov, 165, pp.62~66 (1984)
  12. H. Holm, "Gorenstein homological dimensions", J. Pure Appl. Algebra, 189(1-3), pp.167~193 (2004)
  13. H. Holm, "Foxby equivalence over associative rings", J. Math. Kyoto Univ, 47(4), pp.781~808 (2007)
  14. H. Holm, "Semi-dualizing modules and related Gorenstein homological dimensions", J. Pure Appl. Algebra, 205(2), pp.423~445 (2006)
  15. N. Mahdou, "Strongly Gorenstein flat modules and dimensions", Chin. Ann. Math. Ser. B, 32(4), pp.533~548 (2011)
  16. K. Pinzon, "Absolutely pure covers", Comm. Algebra, 36(6), pp.2186~2194 (2008)
  17. J. J. Rotman, "An Introductions to Homological Algebra" (1979), Academic Press
  18. W. V. Vasconcelos, "Divisor Theory in Module Categories" (1974), North-Holland Publishing Co
  19. D. White, "Gorenstein projective dimension with respect to a semidualizing module", J. Commut. Algebra, 2(1), pp.111~137 (2010)

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