完全正则的广义圈乘半群  

Completely Regular Generalized Adjoint Semigroups

作　　者：于晓锋[1] 姜珊[1] 谢敬然[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2009年第5期877-880,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:J0630104);吉林大学"985工程"项目基金

摘　　要：刻画具有完全正则的广义圈乘半群的环.证明了环R有一个广义圈乘半群R◇是群之并当且仅当R◇同构于一个Morita contextM(S,T,U,V)的由E11诱导的广义圈乘半群,其中S是广义根环,T是强正则环,VU=0,并且对于S的任意幂等元e,都有eU=Ve=0.Rings with a completely regular generalized adjoint semigroup are characterized. It is proved that a generalized adjoint semigroup R° of a ring R is a union of groups if and only if R° is isomorphic to the generalized adjoint semigroup induced by E11 of a Morita context М（S, T, U, V）, where S is a generalized radical ring, T is a strongly regular ring, VU =0, and eU = Ve =0 for any idempotent e ∈ S.

关 键 词：圈乘半群 广义圈乘半群 群之并 广义根环 幂等元 

分 类 号：O153.3[理学—数学]