中北大学学报（自然科学版）2017，Vol.38Issue(4)：420-424,5.DOI:10.3969/j.issn.1673-3193.2017.04.005
一类半群的正则性和格林关系
Regularity and Green's Relations on a Class of Semigroups
秦美青1
作者信息
- 1. 菏泽学院 数学系, 山东 菏泽 274015
- 折叠
摘要
Abstract
Let E be an equivalence on X and PE(X) is a partial transformation semigroup of preserving equivalence relations determined by the equivalence E.Using the definition of Green's-relations and regular elements, the Green's-relations and regularity on semigroup P2(X)={f∈PE(X)∶|imf|≤2} the subsemigroup of PE(X) are studied and the Green's-relations of semigroup P2(X) is described, and the sufficient and necessary condition of semigroup whose elements are regular are given.关键词
部分变换/格林关系/正则元/保等价关系Key words
partial transformation/Green's relation/regular elements/preserving equivalence relations分类
数理科学引用本文复制引用
秦美青..一类半群的正则性和格林关系[J].中北大学学报（自然科学版）,2017,38(4):420-424,5.
