形式三角矩阵环的Quasi-morphic性(英文)  

The Quasi-morphic Property of Formal Triangular Matrix Ring

作　　者：王启传[1] 龙凯[1] 冯良贵[1] 

机构地区：[1]国防科技大学理学院,长沙410073

出　　处：《数学理论与应用》2011年第3期61-64,共4页Mathematical Theory and Applications

摘　　要：环R称为左Quasi-morphic环,是指对任意a∈R都存在b,c∈R使得Ra=l(b)并且l(a)=Rc。文章主要证明了:BMA的形式三角矩阵环T={(ma 0b):a∈A,b∈B,m∈M}是Quasi-morphic当且仅当A,B是Quasi-morphic并且M=0。这个结果引导我们研究了Quasi-morphic环的corner环的Quasi-morphic性。A ring is called left quasi - morphic, if for each a∈ R, there exist b and c in R such that Ra = l（b） and l（a） Rc. The main theorem of this paper is that, the formal triangular matrix rings T={（mb,a0）a∈A：b∈B,m∈A} M of （B,A） -bimoduleMis quasi - morphic if and only ifA, B is quasi -morphic and M = 0. This leads to investigate the quasi - morphic property of comer ring R, where R is a quasi - morphic ring.

关 键 词：Quasi—morphic 半素 形式三角矩阵环 

分 类 号：O153.3[理学—数学]