具有理想收缩性质的某些GV-半群(英文)  

The Ideal Retraction Property for Some GV-semigroups

作　　者：张建刚[1] 申冉[2] 

机构地区：[1]上海师范大学数学系,上海200234 [2]东华大学理学院,上海200026

出　　处：《数学进展》2012年第2期155-166,共12页Advances in Mathematics（China）

基　　金：supported by Leading Academic Discipline Project of SHNU(No.DZL803);Innovation Project of Shanghai Education Committee(No.12YZ081);General Scientific Research Project of SHNU(No. SK201121);Mathematical Tianyuan Foundation of China(No.10926078);National Natural Science Foundation of China(No.11001046);Fundamental Research Foundation for the Central Universities(No.11D10904)

摘　　要：如果半群S的每一个理想都是它的幂等同态像,称半群S具有理想收缩性质。GV-半群是完全正则半群在π-正则半群范围内的推广。本文刻画了某些具有理想收缩性质的GV-半群。A semigroup S is said to have the ideal retraction property if each of its ideals is the image of an idempotent endomorphism of S.GV-semigroups are the generalizations of completely regular semigroups in the ranger ofπ-regular semigroups.In this paper,we characterize some GV-semigroups with this property.

关 键 词：完全阿基米德半群 GV-半群 理想收缩性质 

分 类 号：O152.7[理学—数学]