Complemented congruences on Ockham algebras

• Author(s): Mendes, C.
• Date: 2005
• Persistent ID: http://hdl.handle.net/1822/11553
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Ockham algebras; Congruences; Distributive lattices; Science & Technology
• Document Type: Journal article
• Language: English
• Contributor(s): Universidade do Minho

Description

An Ockham algebra $ L = (L,∧, ∨, f, 0, 1) $ that satisfies the identity $f^{2n+m} = f^m$, $n ∈ \mathbb{N}$ and $m ∈ \mathbb{N}_0$, is called a $K_{n,m}$-algebra. In this paper we describe the complement (when it exists) of a principal congruence and characterize these congruences that are complemented.

Fundação para a Ciência e a Tecnologia (FCT) - programa POCTI