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Paper   IPM / M / 15550
School of Mathematics
  Title:   Relative canonical modules and some duality results
  Author(s):  Majid Rahro Zargar
  Status:   To Appear
  Journal: Algebra Colloq.
  Supported by:  IPM
Let (R,\fm) be a relative Cohen-Macaulay local ring with respect to an ideal \fa of R and set c:=\h\fa. In this paper, we investigate some properties of the Matlis dual of R-module \"\fac(R) and we show that such modules treat like canonical modules over Cohen-Macaulay local rings. Also, we provide some duality and equivalence results with respect to the module \"\fac(R) and so these results lead to achieve generalizations of some known results, such as the Local Duality Theorem, which have been provided over a Cohen-Macaulay local ring which admits a canonical R-module.

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