摘要
若环R中的每个元a都满足R/Ran≌l(an),其中l(an)是an在R中左零化子,则环R叫做左G-morphic环.C是环D的子环,且R[D,C]={(d1,…,dt,c,c,…)|di∈D,c∈C,t≥1};本文主要给出了R[D,C]是左G-morphic环的一个充要条件;还给出了左[D,C]G-morphic元的定义和它的一些性质.
A Ring R is called left G-morphic,if for every a∈R,R/R^an≌l（a^n） where l（a^n） denotes the left annihilator of a^n in R.For a subring C of a ring D,let R={（d1,…,dt,c,c,…）｜di∈D,c∈C,t≥1}.A sufficient and necessary condition is obtained for R to be a left G-morphic ring.An element x∈C is called left G-morphic if there exists y∈C such that lC（x^n）=Cy,lC（y）=Cx^n,lD（x^n）=Dy,lD（y）=Dx^n.Some properties of left G-morphic element are given.
出处
《安徽师范大学学报（自然科学版）》
CAS
北大核心
2010年第5期418-420,共3页
Journal of Anhui Normal University(Natural Science)
基金
Supported by Natural Science Foundation of Deucation Department of Anhui Province(KJ2008A026)
Colleges and University Natural Science Foundation of Anhui Province(KJ2009B107Z)
