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.
出处
《数学进展》
CSCD
北大核心
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)
关键词
完全阿基米德半群
GV-半群
理想收缩性质
completely archimedean semigroup
GV-semigroup
ideal retraction property
