Gorenstein Injective Dimensions and Cohen-Macaulayness
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Abstract:
Let (R,m) be a commutative noetherian local ring. In this paper we investigate the existence of a finitely generated R-module of finite Gorenstein dimension when R is Cohen-Macaulay. We study the Gorenstein injective dimension of local cohomology of complexes and next we show that if R is a non-Artinian Cohen-Macaulay ring, which does not have the minimal multiplicity, then R has a finite generated module of finite Gorenstein injective dimension.
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Journal title
volume 5 issue 2
pages 0- 0
publication date 2020-02
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