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.
| Reference Key |
chonghui2017simpleopen
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|---|---|
| Authors | Chonghui, Huang;Lijing, Zheng; |
| Journal | open mathematics |
| Year | 2017 |
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