模的拟-morphic性  

The Quasi-Morphic Property of Modules

作　　者：陆二伟 储茂权[1] 吴姚志[1] 杨倩[1] 

机构地区：[1]安徽师范大学数学与计算机科学学院,安徽芜湖241003

出　　处：《安徽师范大学学报（自然科学版）》2015年第6期541-545,共5页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金(10971099)

摘　　要：本文结合了morphic环gn morphic模的研究方法.探讨了拟-mnorphic模.文中给出了拟-morphic模和P-拟-morphic模的一些刻画;推广了morphic模的相关结果;文中还对拟-morphic模的自同态环进行了研究,揭示了它与正则环的关系.In this paper,combining with the research methods of morphic ring and morphic modules,we have investigated the quasi-morphic modules.The characterization of quasi-morphic modules and P-quasimorphic modules are given and relevant results of morphic modules are extended.In addition,the endomorphism rings of the quasi-morphic modules are also investigated,revealing the correlations between endomorphism rings and regular rings.

关 键 词：拟-morphic模 morphic模 左拟-morphic环 正则模 正则环 拟-morphic群 

分 类 号：O152.7[理学—数学]