2013•Algebra ColloquiumRequires access

The Permutable Congruences of bpO -Algebras

Jie Fang, Zhongju Sun

Abstract

An algebra A is said to be congruence permutable if any two congruences on it are permutable. This property has been investigated in several classes of algebras, for example, de Morgan algebras, p-algebras and MS-algebras, etc. In this paper, we characterize the permutable congruences on a finite Ockham algebra with balanced pseudocomplementation via the Priestley duality.

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Key concepts: Permutable prime, Congruence relation, Mathematics, Congruence (geometry), Pure mathematics, Duality (order theory), Property (philosophy), Algebra over a field