G-morphic模  

G-morphic Modules

作　　者：颜晓光[1] 储茂权[1] 丁学智[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241000

出　　处：《安徽师范大学学报（自然科学版）》2006年第5期426-428,共3页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省教育厅自然科学基金(2003kj166);安徽省高校青年教师基金(2003jq107)

摘　　要：利用模的自投射及生成核的性质给出了左R模为G-morphic模等价于其自同态环为左G-morphic环的条件,并利用此结论证明了G-morphic模有类似于G-morphic环的性质:在一定条件下G-morphic模的直积因子也为G-morphic模,从而在一定程度上反映了G-morphic模与G-morphic环的联系.In this paper we give the condition under which a left R module is G-morphic if and only if its endomorphism ring is left G-morphic by discussing the properties of self-projective and generating kernels in left R modules. Furthermore we discuss the relationship on G-morphic between the family of left R modules {Mα} A and their direct product ∏ AMα So we can find some links between G-morphic modules and G-morphic ring from the results of this paper.

关 键 词：G-morphic 左G-morphic 左G-morphic环 G-morphic模 

分 类 号：O153.3[理学—数学]