信阳师范学院学报（自然科学版）2016，Vol.29Issue(3)：313-315,319,4.DOI:10.3969/j.issn.1003-0972.2016.03.001
一类夹心变换半群的正则元
Regular Elements of a Kind of Sandwich Transformation Semigroups
摘要
Abstract
Let TX be the full transformation semigroup on a nonempty set X and E be an equivalence on X . Then T∃(X) = {f ∈ TX:∀x,y ∈ X,(f(x),f(y)) ∈ E⇒(x,y) ∈ E}is a subsemigroup of TX of transformations reflecting the equivalence E . Fix an element θ∈T∃(X) and define an opera⁃tion ° on T∃(X) by f°g = fθg where fθg denotes the composition of the maps g,θ and f in the usual sense. With respect to the new operation °, T∃(X) forms a new semigroup which is called a sandwich semigroup of T∃(X) and denoted by T∃(X;θ) . The regular elements of the sandwich transformation semigroup T∃(X;θ) were characterized and a necessa⁃ry and sufficient condition for the regular semigroup T∃(X;θ) was presented.关键词
夹心变换半群/等价关系/正则元Key words
sandwich transformation semigroup/equivalence/regular element分类
数理科学引用本文复制引用
李建华,孙垒..一类夹心变换半群的正则元[J].信阳师范学院学报（自然科学版）,2016,29(3):313-315,319,4.基金项目
国家自然科学基金项目（U1404101）；河南省科技计划项目（162400410122）；河南省教育厅高校重点研究项目 （）
