Simple modules over Auslander regular rings
Open Mathematics (2017)
- Volume: 15, Issue: 1, page 1618-1622
- ISSN: 2391-5455
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topChonghui Huang, and Lijing Zheng. "Simple modules over Auslander regular rings." Open Mathematics 15.1 (2017): 1618-1622. <http://eudml.org/doc/288589>.
@article{ChonghuiHuang2017,
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.},
author = {Chonghui Huang, Lijing Zheng},
journal = {Open Mathematics},
keywords = {Auslander regular ring; Diagonal ring; Simple module; Grade},
language = {eng},
number = {1},
pages = {1618-1622},
title = {Simple modules over Auslander regular rings},
url = {http://eudml.org/doc/288589},
volume = {15},
year = {2017},
}
TY - JOUR
AU - Chonghui Huang
AU - Lijing Zheng
TI - Simple modules over Auslander regular rings
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1618
EP - 1622
AB - 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.
LA - eng
KW - Auslander regular ring; Diagonal ring; Simple module; Grade
UR - http://eudml.org/doc/288589
ER -
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