Congruence Pairs of Decomposable MS-Algebras  

作　　者：Sanaa El-ASSAR Abd El-Mohsen BADAWY 

机构地区：[1]Department of Mathematics,Faculty of Science,Tanta University,Tanta,Egypt

出　　处：《Chinese Annals of Mathematics,Series B》2021年第4期561-574,共14页数学年刊（B辑英文版）

基　　金：supported by 2nd International Conference for Mathematics,Statistics and Information Technology(ICMSIT for short)that held in the Faculty of Science;Tanta University;Egypt,18-20December,2018。

摘　　要：In this paper,the authors first introduce the concept of congruence pairs on the class of decomposable MS-algebras generalizing that for principal MS-algebras(see[13]).They show that every congruence relationθon a decomposable MS-algebra L can be uniquely determined by a congruence pair(θ_(1),θ_(2)),whereθ_(1)is a congruence on the de Morgan subalgebra L^(∞)of L andθ_(2)is a lattice congruence on the sublattice D(L)of L.They obtain certain congruence pairs of a decomposable MS-algebra L via central elements of L.Moreover,they characterize the permutability of congruences and the strong extensions of decomposable MS-algebras in terms of congruence pairs.

关 键 词：MS-Algebras Decomposable MS-algebras Congruence pairs Strong extension PERMUTABILITY Congruence lattices 

分 类 号：O153[理学—数学]