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

Pub Date : 2019-01-01 DOI:10.18910/71139
Weiling Song, Xiaojin Zhang, Zhaoyong Huang
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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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