G-morphic环的正则性  

On Regularity of G-morphic Rings

作　　者：李艳午[1] 储茂权[1] 

机构地区：[1]安徽师范大学数学与计算机科学学院

出　　处：《安徽师范大学学报（自然科学版）》2007年第5期542-544,547,共4页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省教育厅自然科学基金(2006kj-050c)

摘　　要：主要证明了:约化的左G-morphic的右WIN-环是π-正则环;约化的右G-morphic的左WIN-环是强π-正则环;π-正则的零因子可换环是G-morphic环;约化的强-π-正出环是G-morphic环.In this paper, we prove that： If right WIN-ring R is both reduced and left G-morphic, then R is π - regular; If left WIN-ring R is both reduced and right G-morphic, then R is strong π -regular; If ring R is both reduced and π -regular, then R is G-morphic; If ring R is both reduced and strong π-regular, then R is G- morphic.

关 键 词：左 (右)G-morphic环 Π-正则环 强π-正则环 左(右)GP-内射环 左(右)WIN-环 

分 类 号：O153.3[理学—数学]