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On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers

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Heidarian Z., Zakeri H.

Colloquium Mathematicum

2015

tom 138

nr 2

217-231

The dual of a Gorenstein module is called a co-Gorenstein module, defined by Lingguang Li. In this paper, we prove that if R is a local U-ring and M is an Artinian R-module, then M is a co-Gorenstein R-module if and only if the complex $Hom_{R̂}(𝓒(𝓤,R̂),M)$ is a minimal flat resolution for M when we choose a suitable triangular subset 𝓤 on R̂. Moreover we characterize the co-Gorenstein modules over a local U-ring and Cohen-Macaulay local U-ring.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Heidarian Z.

1 Zakeri H.

1 2015

Wyniki wyszukiwania

On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers