Congruences on Zappa-Szp Products of Semilattices with An Identity and Groups  

作　　者：Jiangping XIAO Yonghua LI 

机构地区：[1]Schoolo{MathematicalSciences,SouthChinaNormalUniversitylGuangdong510631.P.R.China [2]School of Mathematical Sciences, South China Normal University, Guangdong 510631, P. R. China

出　　处：《Journal of Mathematical Research with Applications》2012年第6期677-686,共10页数学研究及应用（英文版）

摘　　要：Let P = E G be a Zappa-Szp product of a semilattice E with an identity and a group G. In this paper, we first introduce the concept of congruence pairs for P , and then prove that every congruence on P can be described by such a congruence pair. In fact the congruence lattice on P is lattice-isomorphic to the set of all congruence pairs for P . Finally,we characterize group congruences on P .Let P = E G be a Zappa-Szp product of a semilattice E with an identity and a group G. In this paper, we first introduce the concept of congruence pairs for P , and then prove that every congruence on P can be described by such a congruence pair. In fact the congruence lattice on P is lattice-isomorphic to the set of all congruence pairs for P . Finally,we characterize group congruences on P .

关 键 词：Zappa-Szp product CONGRUENCE congruence pairs. 

分 类 号：O152.1[理学—数学] O152.7[理学—基础数学]