Simple modules over Auslander regular rings

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ID: 97379
2017
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Abstract
In this paper, we discuss the properties of simple modules over Auslander regular rings with global dimension at most 3. Using grade theory, we show the right projective dimension of ExtΛ1(S,Λ)$\begin{array}{} \text{Ext}_{{\it\Lambda}}^{1}(S,\ {\it\Lambda}) \end{array} $ is equal to 1 for any simple Λ-module S with gr S = 1. As a result, we give some equivalent characterization of diagonal Auslander regular rings.
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chonghui2017simpleopen Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Chonghui, Huang;Lijing, Zheng;
Journal open mathematics
Year 2017
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