The Socle of the Last Term in the Minimal Injective Resolution of a Gorenstein Module

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-01-01 DOI:10.18910/71139

Weiling Song, Xiaojin Zhang, Zhaoyong Huang

引用次数: 0

Abstract

Let R be a left Noetherian ring, S a right Noetherian ring and RU a Gorenstein module with S = End(RU). If the injective dimensions of RU and US are finite, then the last term in the minimal injective resolution of RU has an essential socle.

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一类Gorenstein模的最小内射解析的最后一项的解

设R为左noether环，S为右noether环，RU为S = End(RU)的Gorenstein模。如果RU和US的内射维是有限的，那么RU的最小内射分辨率的最后一项有一个本质的点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.