α-半交换环的推广  

Generalization of α-Semicommutative Rings

作　　者：杨倩[1] 储茂权[1] 徐玉成[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《南通大学学报（自然科学版）》2016年第1期91-94,共4页Journal of Nantong University(Natural Science Edition)　

基　　金：国家自然科学基金项目(11401009)

摘　　要：设α是环R的自同态,如果对任意的a,b∈R,若ab=0,那么存在一个正整数n,使得a^nRα(b)=0,则称自同态α是左GWZI自同态.若环R存在左GWZI自同态,则称环R是α-LGWZI环.文章给出了α-LGWZI环的刻画,探究了α-LGWZI环的相关性质,推广了α-半交换环.An endomorphism α of a ring R is called left GWZI, if whenever ab = 0 for a, b∈R, there must exist a positive integer n which brings a-nRα（b） = 0, and the endomorphism α is the endomorphism of left GWZI. If a ring R has the endomorphism of left GWZI, R is the ring of α-LGWZI. This study presented the characterization of α-LGWZI rings, the related properties of the α-LGWZI rings, and also generalized α-Semicommutation rings.

关 键 词：左GWZI环 α-LGWZI环 α-半交换环 

分 类 号：O153.3[理学—数学]