Congruence Pairs of Decomposable MS-Algebras

• 作者: Sanaa El-ASSAR Abd El-Mohsen BADAWY
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 561-574
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11401-021-0278-1

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 relation θ on a decomposable MS-algebra L can be uniquely determined by a congruence pair(θ1,θ2),where θ1 is a congruence on the de Morgan subalgebra L°° of L and θ2 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.