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保等价部分变换半群的变种半群上的正则元
引用本文:秦美青,许新斋.保等价部分变换半群的变种半群上的正则元[J].纯粹数学与应用数学,2010,26(5):822-827.
作者姓名:秦美青  许新斋
作者单位:菏泽学院数学系,山东,菏泽,274015;山东师范大学数学科学学院,山东,济南,250014
基金项目:山东省教育厅科技计划项目 
摘    要:在现有的保等价部分变换半群的基础上,引入了一个新的运算,得出保等价部分变换半群的变种半群的概念,利用格林关系及幂等元的正则性,讨论了这类半群中元素的正则性,给出了保等价部分变换半群的变种半群中一个元是正则元的充要条件

关 键 词:变换半群  保等价部分变换半群的变种半群  正则元

The regular element for variant semigroup of partial transformation semigroup preserving an equivalence relation
QIN Mei-qing,XU Xin-zhai.The regular element for variant semigroup of partial transformation semigroup preserving an equivalence relation[J].Pure and Applied Mathematics,2010,26(5):822-827.
Authors:QIN Mei-qing  XU Xin-zhai
Institution:1. Department of Mathematics, Heze University, Heze 274015, China; 2. School of Mathematics Sciences, Shandong Normal University, Ji'nan 250014, China)
Abstract:On the basis of semigroups of partial transformations preserving an equivalence relation,we derive the nation of variant semigroups of partial transformation semigroup preserving an equivalence through Green's relations and the regularity of idempotent and discuss the regularity for an element of this semigroup and give the sufficient and necessary condition of an element of variant semigroups of partial transformation semigroup preserving an equivalence is regular.
Keywords:transformation semigroups  the variant semigroups of partial transformation semigroup preserving an equivalence  regular element  
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