保持等价关系的变换半群的一些结果  

Some results on transformation semigroups that preserve an equivalence

作　　者：王守峰[1] 陈辉 WANG Shou-feng;CHEN Hui(School of Mathematics,Yunnan Normal University,Kunming 650500,Yunnan,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《西北师范大学学报（自然科学版）》2024年第1期5-10,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12271442)。

摘　　要：给出了保持等价关系的变换半群上的格林关系L,R,H和格林*-关系L^(*),R^(*),H^(*)相容的充要条件,刻画了这类半群的左(右,完全)正则性,得到了这类半群的全体幂等元(正则元,富足元)构成子半群的等价描述.For transformation semigroups that preserve an equivalence,sufficient and necessary conditions are given,in which the Green relations L,R,H and Green*-relations L^(*),R^(*),H^(*)are compatible.The left(right,completely)regularity are characterized,and equivalent descriptions are obtained that idempotent(regular,abundant)elements form a subsemigroup.

关 键 词：变换半群 格林*-关系 正则性 富足元 幂等元 

分 类 号：O152.7[理学—数学]