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Maps in minimal injective resolutions of modules

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We investigate the behavior of maps in minimal injective resolution of an A-module M when μ_(t)(m,M)=1 for some t, and we develop slightly the fact that a module of type 1 is Cohen-Macaulay.

Abstract

We investigate the behavior of maps in minimal injective resolution of an A-module M when μ_(t)(m,M)=1 for some t, and we develop slightly the fact that a module of type 1 is Cohen-Macaulay.

참고문헌 (13)

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  3. D. Costa, "Complete local domains of type two are Cohen-Macaulay", Bull. London Math. Soc., 17(1), pp.29~31 (1985)
  4. H.-B. Foxby, "On the μi in a minimal injective resolution. II", Math. Scand, 41(1), pp.19~44 (1977)
  5. T. Kawasaki, "Local rings of relatively small type are Cohen-Macaulay", Proc. Amer. Math. Soc., 122(3), pp.703~709 (1994)
  6. J. Koh, "Applications of SCr-condition to Bass numbers of modules", in preparation, ~
  7. Kisuk Lee, "A Note on Types of Noetherian Local Rings", 대한수학회보, 39(4), pp.645~652 (2002), 대한수학회
  8. 이기석, "On types of Noetherian local rings and modules", 대한수학회지, 44(4), pp.987~995 (2007), 대한수학회
  9. T. Marley, "Unmixed local rings of type two are Cohen-Macaulay", Bull. London Math. Soc, 23(1), pp.43~45 (1991)
  10. P. Roberts, "Homological Invariants of Modules over Commutative Rings" (1980), Presses del’Universit´e de Montreal, Montr´eal, Que
  11. P. Roberts, "Intersection theorems, Commutative algebra", pp.417~436 (1989), Math. Sci. Res. Inst. Publ
  12. P. Roberts, "Rings of type 1 are Gorenstein", Bull. London Math. Soc, 15(1), pp.48~50 (1983)
  13. W. V. Vasconcelos, "Divisor Theory in Module Categories, North-Holland Mathematics Studies in Notas de Matematica" (1974), North-Holland Publishing Co, American Elsevier Publishing Co

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