Simple modules over Auslander regular rings

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 simpl...

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Bibliographic Details
Main Authors: Huang Chonghui, Zheng Lijing
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0138/math-2017-0138.xml?format=INT