Document Type

Article

Date

11-23-2009

Embargo Period

11-15-2011

Disciplines

Mathematics

Description/Abstract

Let R be a commutative noetherian local ring. A finitely generated R-module C is semidualizing if it is self-orthogonal and satisfies the condition HomR(C,C) \cong R. We prove that a Cohen-Macaulay ring R with dualizing module D admits a semidualizing module C satisfying R\ncong C \ncong D if and only if it is a homomorphic image of a Gorenstein ring in which the defining ideal decomposes in a cohomologically independent way. This expands on a well-known result of Foxby, Reiten and Sharp saying that R admits a dualizing module if and only if R is Cohen-Macaulay and a homomorphic image of a local Gorenstein ring.

Additional Information

This manuscript is from arXiv.org, for more information look at http://arxiv.org/abs/0905.0685

Source

Harvested from arXiv.org

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This work is licensed under a Creative Commons Attribution 3.0 License.

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