Congruence Permutable Symmetric Extended de Morgan Algebras

Jie Fang
May 2006
Acta Mathematica Sinica;May2006, Vol. 22 Issue 3, p659
Academic Journal
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,o-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.


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