Gorenstein homological dimensions with respect to a semi-dualizing module over group rings

Subject Areas : Statistics

A. Bahlekeh ¹

1 - Department of mathematics, Gonbad Kavous University, Gonbad Kavous, IRAN.

Received: 2017-05-10 Accepted : 2017-06-23 Published : 2017-10-23

Keywords: مدول شبه دوگانی, بعد گرنشتاین, بعد C-تصویری گرنشتاین, بعد C-تزریقی گرنشتاین,

Abstract :

Let R be a commutative noetherian ring and Γ a finite group. In this paper,we study Gorenstein homological dimensions of modules with respect to a semi-dualizing module over the group ring . It is shown that Gorenstein homological dimensions of an -RΓ module M with respect to a semi-dualizing module, are equal over R and RΓ .

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