A SPECIAL KIND OF PRINCIPAL CONGRUENCES ON MS-ALGEBRAS  

作　　者：罗从文 

机构地区：[1]Department of Mathematics Three Gorges University

出　　处：《Acta Mathematica Scientia》2008年第2期315-320,共6页数学物理学报（B辑英文版）

基　　金：the Natural Science Foundation of Hubei Province

摘　　要：In this article, for any a in the MS-algebra L, the author considers the con- gruence of the form defined by （x,y） ∈θa→←x∧a°° = y ∧a° and x ∨ a°° = y ∨ a°°. A characterization of subdirectly irreducible MS-algebras is given and it is also proved that the union of two principal congruences having this form is a principal congruence if and only if L ∈ K2 ∨ K3.In this article, for any a in the MS-algebra L, the author considers the con- gruence of the form defined by （x,y） ∈θa→←x∧a°° = y ∧a° and x ∨ a°° = y ∨ a°°. A characterization of subdirectly irreducible MS-algebras is given and it is also proved that the union of two principal congruences having this form is a principal congruence if and only if L ∈ K2 ∨ K3.

关 键 词：MS-ALGEBRA principal congruence MS-space 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]