信阳师范学院学报（自然科学版）2012，Vol.25Issue(3)：281-284,288,5.DOI:10.3969/j.issn.1003-0972.2012.03.001
一类保持等价关系的变换半群的正则性和格林关系
Regularity and Green's Relations for a Semigroup of Transformations Preserving an Equivalence Relation
摘要
Abstract
Let X be a set with ∣X∣ >3 ,TX the full transformation semigroup on X,￡ an equivalence relation on X andTE(X) the subsemigroup of Tx determined by E which satisfies V∨ (x,y) ∈E,(f(x) f(y)) ∈E. Let T2(X) be a subsemigroup of TE(X) and V/e T2(X), ∣f(X) ∣ ≤2. The Green's relations and regular elements in the semigroup T2(X) are described and discussed.关键词
半群/格林关系/正则Key words
semigroups/ Green's relations/ regular elements分类
数理科学引用本文复制引用
邓伟娜,裴惠生..一类保持等价关系的变换半群的正则性和格林关系[J].信阳师范学院学报（自然科学版）,2012,25(3):281-284,288,5.基金项目
国家自然科学基金项目(10971086) （10971086）
河南省科技发展规划项目(122300410276) （122300410276）
