吉林大学学报（理学版）2016，Vol.54Issue(4)：801-804,4.DOI:10.13413/j.cnki.jdxblxb.2016.04.23
矩阵环的一类拟 Armendariz 子环
A Class of Quasi-Armendariz Subrings of Matrix Rings
摘要
Abstract
Considering the quasi-Armendariz property of the subring S n (R )of n × n matrix ring Mn (R),the author proved that if R is a semiprime ring with compatible endomorphismsα1 ,α2 ,…,αn , then S n (R)is a quasi-Armendariz ring for any positive integer n ≥2,and that if R is a commutative ring andα1 ,α2 ,…,αn are compatible endomorphisms of R such thatα1 =αn ,then R is a semiprime ring if and only if S n (R)is a quasi-Armendariz ring.关键词
拟 Armendariz 环/半素环/相容自同态Key words
quasi-Armendariz ring/semiprime ring/compatible endomorphism分类
数学引用本文复制引用
张万儒..矩阵环的一类拟 Armendariz 子环[J].吉林大学学报（理学版）,2016,54(4):801-804,4.基金项目
国家自然科学基金(批准号:11361051) （批准号:11361051）
