The K°-relation on the Congruence Lattice of a Regular Semigroup with an Inverse Transversal  

作　　者：Ying Ying FENG Li Min WANG 

机构地区：[1]Department of Information Science and Mathematics,Foshan University [2]School of Mathematics,South China Normal University

出　　处：《Acta Mathematica Sinica,English Series》2012年第5期1061-1074,共14页数学学报（英文版）

摘　　要：Let S be a regular semigroup with an inverse transversal S° and C（S） the congruence lattice of S. A relation K° on C（S） is introduced as follows： if p, θ∈ C（S）, then we say that p and 0 are K°-related if Ker pO = Ker θ°, where p°= p｜s°. Expressions for the least and the greatest congruences in the same K°-class as p are provided. A number of equivalent conditions for K° being a congruence are given.Let S be a regular semigroup with an inverse transversal S° and C（S） the congruence lattice of S. A relation K° on C（S） is introduced as follows： if p, θ∈ C（S）, then we say that p and 0 are K°-related if Ker pO = Ker θ°, where p°= p｜s°. Expressions for the least and the greatest congruences in the same K°-class as p are provided. A number of equivalent conditions for K° being a congruence are given.

关 键 词：Regular semigroup inverse transversal CONGRUENCE K°-relation 

分 类 号：O152.7[理学—数学] TN916.2[理学—基础数学]