Congruence Permutable Symmetric Extended de Morgan Algebras  

作　　者：Jie FANG 

机构地区：[1]Department of Mathematics,Shantou University

出　　处：《Acta Mathematica Sinica,English Series》2006年第3期659-664,共6页数学学报（英文版）

摘　　要：An algebra A is said to be congruence permutable if any two congruences on it are permutable. This property has been investigated in several varieties of algebras, for example, de Morgan algebras, p-algebras, Kn,0-algebras. In this paper, we study the class of symmetric extended de Morgan algebras that are congruence permutable. In particular we consider the case where A is finite, and show that A is congruence permutable if and only if it is isomorphic to a direct product of finitely many simple algebras.An algebra A is said to be congruence permutable if any two congruences on it are permutable. This property has been investigated in several varieties of algebras, for example, de Morgan algebras, p-algebras, Kn,0-algebras. In this paper, we study the class of symmetric extended de Morgan algebras that are congruence permutable. In particular we consider the case where A is finite, and show that A is congruence permutable if and only if it is isomorphic to a direct product of finitely many simple algebras.

关 键 词：congruence permutable extended Ockham algebra symmetric extended de Morgan algebra 

分 类 号：O153[理学—数学]