一类矩阵环的Armendariz性质(英文)  

Armendariz Properties of Some Matrix Rings

作　　者：欧阳伦群[1] 

机构地区：[1]湖南科技大学数学与计算科学学院

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第2期153-157,161,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：the Scientific Research Fund of Hunan Provincial Education Depart ment(07c268)

摘　　要：证明了约化环R上的两类特殊上三角形矩阵环是Armendariz环和斜Armendariz环.In this paper we claim that some special 4-by-4 upper triangular matrix ring over reduced ring R is an Armendariz ring. Moreover,we see that a special n- by-n upper triangular matrix ring over reduced ring R is an Armendariz ring,an W-skew Armendariz ring where a is an endomorphism of R and a M-Armendariz ring where M is a monoid with ｜ M｜ ≥ 2.

关 键 词：ARMENDARIZ环 斜ARMENDARIZ环 约化环 

分 类 号：O153.3[理学—数学] O154[理学—基础数学]