Terms that are self-dual in Boolean algebras but not in \(MO_{2}\)
type: Item
instance of: scholarly article
title: Terms that are self-dual in Boolean algebras but not in \(MO_{2}\)
zbMATH Open document ID: 1186.06003
author: David Kelly
author: R. Padmanabhan
published in: Algebra Universalis
publication date: 2010-01-04T00:00:00Z
review text: An absorption law is an identity of the form \(p=x\). The main result of the paper says that if \(q\) is an idempotent term that equals its dual in Boolean algebras then there exists a term \(p\) of the same arity as \(q\) which does not equal its dual in the six-element orthomodular lattice but satisfies the same \(2\)-variable absorption laws in orthomodular lattices as \(q\) does in Boolean algebras.
reviewed by: Helmut Länger
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 08B05
zbMATH DE Number: 5652275
zbMATH Keywords: absorption law
zbMATH Keywords: Boolean algebra
zbMATH Keywords: minority term
zbMATH Keywords: orthomodular lattice
zbMATH Keywords: Pixley term
zbMATH Keywords: self-dual
zbMATH Keywords: symmetric difference
zbMATH Keywords: idempotent term
MaRDI profile type: Publication
full work available at URL: s00012-009-2094-4
OpenAlex ID: W2048723165
DOI: 10.1007/S00012-009-2094-4
description: scientific article; zbMATH DE number 5652275