Simple modules over Auslander regular rings

Clicks: 169
ID: 97379
2017
Free PDF
Article Quality & Performance Metrics
Overall Quality Improving Quality
0.0 /100
Combines engagement data with AI-assessed academic quality
AI Quality Assessment
Not analyzed
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 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
DOI
DOI not found
URL
http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0138/math-2017-0138.xml?format=INT
Keywords
mathematics nuclear and particle physics. atomic energy. radioactivity

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.