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Five theorems on Gorenstein global dimensions

Published:2023 Issue: Volume: Page:67-78
ISSN:0271-4132
Container-title:Contemporary Mathematics
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Author:

Christensen Lars,Estrada Sergio,Thompson Peder

Abstract

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension zero and give two new characterizations of rings of finite Gorenstein (weak) global dimension. We also include the answer to a question of Y. Xiang on Gorenstein weak global dimension of group rings.

Publisher

American Mathematical Society

Reference29 articles.

1. Injective dimension in Noetherian rings;Bass, Hyman;Trans. Amer. Math. Soc.,1962

2. Periodic modules and acyclic complexes;Bazzoni, Silvana;Algebr. Represent. Theory,2020

3. Weak Gorenstein global dimension;Bennis, Driss;Int. Electron. J. Algebra,2010

4. Global Gorenstein dimensions;Bennis, Driss;Proc. Amer. Math. Soc.,2010

5. A refinement of Gorenstein flat dimension via the flat-cotorsion theory;Christensen, Lars Winther;J. Algebra,2021

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. One-sided Gorenstein rings;Forum Mathematicum;2024-01-02

2. When do the Gorenstein Injective Modules and Strongly Cotorsion Modules Coincide?;Bulletin of the Iranian Mathematical Society;2023-11-10

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