| 具有理想收缩性质的某些GV-半群(英文) |
| |
| 引用本文： | 张建刚,申冉.具有理想收缩性质的某些GV-半群(英文)[J].数学进展,2012(2):155-166. |
| |
| 作者姓名： | 张建刚 申冉 |
| |
| 作者单位： | 上海师范大学数学系;东华大学理学院 |
| |
| 基金项目： | 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。
|
| 关 键 词： | 完全阿基米德半群 GV-半群 理想收缩性质 |
The Ideal Retraction Property for Some GV-semigroups |
| |
| ZHANG Jiangang,SHEN Ran.The Ideal Retraction Property for Some GV-semigroups[J].Advances in Mathematics,2012(2):155-166. |
| |
| Authors: | ZHANG Jiangang SHEN Ran |
| |
| Institution: | (2,**) (1.Department of Mathematics,Shanghai Normal University,Shanghai,200234,P.R.China; 2.College of Science,Donghua University,Shanghai,200026,P.R.China) |
| |
| Abstract: | 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. |
| |
| Keywords: | completely archimedean semigroup GV-semigroup ideal retraction property |
| 本文献已被 CNKI 等数据库收录！ |
