中山大学学报（自然科学版）2011，Vol.50Issue(5)：11-14,4.
严格π-正则半群上的fuzzy同余
Fuzzy Congruences on Strictly π-Regular Semigroups
摘要
Abstract
A π-regular semigroup S is called strictly π-regular, if the set of regular elements of 5 is an ideal of S and is a completely regular subsemigroup of S . We use the notion of a fuzzy congruence relation on semigroups to study some properties of fuzzy congruences on π-regular semigroups. Some properties and characterizations of fuzzy congruences on strictly π-regular semigroups are given, and the group congruence on such semigroups is obtained. Finally, sufficient and necessary conditions for a fuzzy congruence on a strictly π-regular semigroup to be a fuzzy group congruence are proved.关键词
严格π-正则半群/fuzzy同余/fuzzy群同余Key words
strictly π-regular semigroup/fuzzy congruence/fuzzy group congruence分类
数学引用本文复制引用
李春华,刘二根..严格π-正则半群上的fuzzy同余[J].中山大学学报（自然科学版）,2011,50(5):11-14,4.基金项目
国家自然科学基金资助项目(11061014) （11061014）
江西省自然科学基金资助项目(2007GZS0715) （2007GZS0715）
江西省教育厅科研基金资助项目(GJJ10453) （GJJ10453）
华东交通大学科研基金资助项目(01305131) （01305131）
