On Gorenstein global and Gorenstein weak global dimensions

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2023-01-01 DOI:10.4064/cm9052-7-2023

Junpeng Wang, Gang Yang, Qingyu Shao, Xiaoxiang Zhang

引用次数: 1

Abstract

It is well-known that the weak global dimension of a ring does not exceed its global dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for coherent rings. We extend this result to an arbitrary ring. As applications, we ch

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关于Gorenstein全局和Gorenstein弱全局维度

众所周知，环的弱整体维数不超过环的整体维数。Christensen等人在相干环的Gorenstein设置下得到了相应的结果。我们把这个结果推广到任意环上。作为应用程序，我们可以

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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