毕竟正则半群中的变量  

The Variants of Eventually Regular Semigroup

作　　者：石永芳[1] 黄世华[1] 

机构地区：[1]甘肃联合大学数信学院,甘肃兰州730000

出　　处：《甘肃联合大学学报（自然科学版）》2005年第2期8-10,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：设S是一个半群,a∈S.S的关于元素a的变量指的是S按运算 ∶x,y∈S, x y = xay做成的半群(S, ).本文给出了毕竟正则半群上变量的一些性质并刻画了毕竟正则半群的毕竟正则保持元,即使得(S, )是毕竟正则半群的元素a∈S.Let S be an eventually regular semigroup and a∈S.a variant of S with respect to a is a semigroup with underlying set S and multiplication  defined by x,y∈S,xy=xay.In this paper some characterizations of the variants in eventually regular semigroups are given and the eventually regularity preserving elements theoe are elements a such that (S,) is also eventually regular are also characterized.

关 键 词：毕竟正则半群 变量 毕竟正则保持元 

分 类 号：O151.21[理学—数学]