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) 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.
@article{bwmeta1.element.doi-10_1515_math-2017-0138,
author = {Chonghui Huang and Lijing Zheng},
title = {Simple modules over Auslander regular rings},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1618-1622},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0138}
}
Chonghui Huang; Lijing Zheng. Simple modules over Auslander regular rings. Open Mathematics, Tome 15 (2017) pp. 1618-1622. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0138/