左逆半群上同余的一种新刻画(英文)  

A New Characterization of Congruences on Left Inverse Semigroups

作　　者：宫春梅[1] 任学明[1] 袁莹[1] 

机构地区：[1]西安建筑科技大学理学院数学系,西安陕西710055

出　　处：《数学进展》2013年第5期625-630,共6页Advances in Mathematics（China）

基　　金：supported by NSFC(No.10871161,No.10971160,No.11101336,No.11226044);Scientific Research Program funded by Shaanxi Provincial Education Department(No.12JK0876);the Fundof Xi'an University of Architecture and Technology(No.RC1110,No.JC1219,No.QN1316)

摘　　要：Gomes在1985年利用同余对刻画了正则半群上的左逆半群同余.特别地,她给出了左逆半群上任一同余的刻画.本文则给出了左逆半群上任一同余的另一种刻画.Gomes in 1985 characterized left inverse semigroup congruences on a regular semigroup by using congruence pairs. In particular, a characterization of congruences on a left inverse semigroup was given. In this paper, a new characterization for congruences on left inverse semigroups is obtained.

关 键 词：左逆半群 同余 纯正半群 

分 类 号：O152.7[理学—数学]