On the category of modules of Gorenstein dimension zero |
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Authors: | Email author" target="_blank">Ryo?TakahashiEmail author |
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Institution: | (1) Department of Mathematics, Faculty of Science, Okayama University, Okayama 700-8530, Japan |
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Abstract: | Let R be a commutative noetherian henselian non-Gorenstein local ring of depth zero. Denote by modR the category of all finitely generated R-modules, and by the full subcategory of modR consisting of all R-modules of Gorenstein dimension zero. We prove in this paper that if contains a non-free module, then it is not precovering in modR, in particular, there exist infinitely many isomorphism classes of indecomposable R-modules of Gorenstein dimension zero. |
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Keywords: | 13D05 16G60 |
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