东南大学学报（英文版）2009，Vol.25Issue(1)：142-146,5.
弱M-Armendariz环
Weak M-Armendariz rings
摘要
Abstract
For a monoid M this paper itltroduces the weak M-Armendariz rings which are a common generalization of the M-Armendariz tings and the weak Armendariz rings,and investigates their properties.Moreover,this paper proves that:a ring R is weak M-Armendariz if and only if for any n,the,n-by-n upper triangular matrix ring Tn(R)over R is weak M-Armendariz;if I is a semicommutative ideal of ring R such that R/I is weak M-Armcndariz,then R is weak M-Armendariz,where M is a strictly totally ordered monoid;if a ring R is semicommutative and M-Armendariz,then R is weak M×N-Armendariz,where N is a strictly totally ordered monoid;a finitely generated Abelian group G is torsion-free if and only if there exists a ring R such that R iS weak G-Armendariz.关键词
半交换环/M-Armendariz环/弱Armendariz环/弱M-Armendariz环Key words
semicommutative rings/M-Armendariz rings/weak Armendariz rings/weak M-Armendariz rings分类
数理科学引用本文复制引用
张翠萍,陈建龙..弱M-Armendariz环[J].东南大学学报（英文版）,2009,25(1):142-146,5.基金项目
The National Natural Science Foundation of China(No.10571026),the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20060286006). （No.10571026）
