| On Weak Regular ^＊-semigroups |
| |
| 引用本文： | YongHuaLI HalBinKAN BingJunYU. On Weak Regular ^＊-semigroups[J]. 数学学报(英文版), 2004, 20(3): 569-576. DOI: 10.1007/s10114-004-0355-x |
| |
| 作者姓名： | YongHuaLI HalBinKAN BingJunYU |
| |
| 作者单位： | [1]DepartmentofMathematics,SouthChinaNormalUniversity,Guangzhou510631,P.R.China [2]DepartmentofComputer,FudanUniversity,Shanghai200433,P.R.China [3]DepartmentofMathematics,SichuanNormalUniversity,Chengdu610066,P.R.China |
| |
| 摘 要： | In this paper, a special kind of partial algebras called projective partial groupoids is defined.It is proved that the inverse image of all projections of a fundamental weak regular ^*-semigroup under the homomorphism induced by the maximum idempotent-separating congruence of a weak regular ^*-semigroup has a projective partial groupoid structure. Moreover, a weak regular ^*-product which connects a fundamental weak regular ^*-semigroup with corresponding projective partial groupoid is defined and characterized. It is finally proved that every weak regular ^*-product is in fact a weak regular ^*-semigroup and any weak regular ^*-semigroup is constructed in this way.
|
| 关 键 词： | 弱＊-半群 一元算子 ＊-同态 群论 部分投影 |
| 收稿时间： | 2000-06-07 |
On Weak Regular *-semigroups |
| |
| Yong?Hua?LiEmail author,Hai?Bin?Kan,Bing?Jun?Yu. On Weak Regular *-semigroups[J]. Acta Mathematica Sinica(English Series), 2004, 20(3): 569-576. DOI: 10.1007/s10114-004-0355-x |
| |
| Authors: | Yong?Hua?Li author-information" > author-information__contact u-icon-before" > mailto:liyh@scnu.edu.cn" title=" liyh@scnu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Hai?Bin?Kan,Bing?Jun?Yu |
| |
| Affiliation: | (1) Department of Mathematics, South China Normal University, Guangzhou, 510631, P. R. China;(2) Department of Computer, Fudan University, Shanghai, 200433, P. R. China;(3) Department of Mathematics, Sichuan Normal University, Chengdu, 610066, P. R. China |
| |
| Abstract: | Abstract In this paper, a special kind of partial algebras called projective partial groupoids is defined. It is proved that the inverse image of all projections of a fundamental weak regular *-semigroup under the homomorphism induced by the maximum idempotent-separating congruence of a weak regular *-semigroup has a projective partial groupoid structure. Moreover, a weak regular *-product which connects a fundamental weak regular *-semigroup with corresponding projective partial groupoid is defined and characterized. It is finally proved that every weak regular *-product is in fact a weak regular *-semigroup and any weak regular *-semigroup is constructed in this way. Subject supported by NNSF of China (60002007) and NSF of Guangdong China (011438) |
| |
| Keywords: | Weak regular *-semigroup Projective partial groupoid Weak regular *-product |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
