一类特殊的上三角矩阵环的Armendariz性质  

Armendariz Property of a Class of Special Upper Triangular Matrix Rings

作　　者：方小利[1] 陶颖[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2010年第7期6-11,104,共7页Journal of Shaoxing University

基　　金：浙江省教育厅项目(Y200907995);绍兴文理学院重点项目"非辫子张量范畴上的Hopf monad理论及其应用"

摘　　要：Kim和Lee证明了reduced环S上的上三角矩阵环,当阶数小于等于3时是Armendariz环,当阶数大于等于4时就不是Armendariz环.本文寻找到了一类阶数大于等于4具有Armendariz性质的上三角矩阵环的特殊的子环.Let S be a reduced ring. Kim and Lee have proven that an upper triangular matrix ring with entries in S is an Armendariz ring when the order is less than or equal to n ≤ 3, but it is not the case when the order is greater than or equal to n ≤ 4. The main aim of this paper is to find a class of special subrings of an upper with Amendariz property when the order is greater than or equal to n≤ 4. triangular matrix ring

关 键 词：ARMENDARIZ环 上三角矩阵环 REDUCED环 

分 类 号：O153[理学—数学]