满足N_0-比较性的置换环(英文)  

Exchange Rings Satisfying the N0-comparability

作　　者：陈焕艮[1] 刘大勇[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2008年第1期35-39,共5页Journal of Natural Science of Hunan Normal University

基　　金：湖南省自然科学基金资助项目(04JJ40003)

摘　　要：证明了RM是满足N0-比较性的置换环当且仅当R是满足0-比较性的置换环,Morita系统带zero pairings是满足0-比较性的置换环当且仅当A和B是满足0比较性的置换环.对幂级数环亦有类似结果.In this note, we prove that R∞M is an exchange ring satisfying the N0-comparability if and only if so is R, and that the Morita context with zero pairings is an exchange ring satisfying the M B N0-comparability if and only if so are A and B. These provides a class of exchange rings satifying the N0-comparability. Analogue of the ring of power series is also obtained.

关 键 词：置换环 N0-比较性 模扩张 Morita系统. 

分 类 号：O153[理学—数学]