一类Gorenstein模的最小内射解析的最后一项的解

Pub Date : 2019-01-01 DOI:10.18910/71139

Weiling Song, Xiaojin Zhang, Zhaoyong Huang

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引用次数: 0

摘要

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

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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