拟正则半群中正则元集封闭性的一些探讨  

SOME RESULTS FOR THE CLOSENESS OF THE SET OF REGULAR ELEMENTS IN QUASI-REGULAR SEMIGROUP

作　　者：朱平 杨国为 

出　　处：《嘉应大学学报》1995年第1期5-7,28,共4页Journal of Jiaying University

摘　　要：本文对拟正则半群中正则元集封闭性作了专门的探讨。给出了一系列非拟纯整的拟正则半群中正则元集封闭的充分条件,且得出了某些半群中正则元集封闭的充要条件。This paper base specialized the closeness of the set of regular elements in the quasi-regular semigroups. Some sufficient conditions are given for which the set of regular elements closes in quasiregular semigroup but non quasi-orthodox semigroup. And some necessary and sufficient conditions have been obtained for which the set of regular semigroup closes in some quasi-regular semigroup.

关 键 词：拟正则半群 特征集 拟逆半群 正则元集封闭性 同余扩张 非拟纯整 

分 类 号：O152.7[理学—数学]