Ideals in MV-pairs
type: Item
instance of: scholarly article
title: Ideals in MV-pairs
zbMATH Open document ID: 1161.06006
published in: Soft Computing
publication date: 2008-08-21T00:00:00Z
review text: The authors describe the concept of MV-algebra, introduced by Chang (1959) as an algebraic basis for many-valued logic, and extend the results giving by Jenca. In this paper, the authors study the relations between congruences of a Boolean algebra \(B\) and congruences \(B/{ \sim _G}\) induced by a \(G\)-invariant ideal \(I\) of \(B\). \(G\) is a subgroup of the automorphism group of \(B\). They also give some relations between ideals in MV-algebras and in the corresponding \(R\)-generated Boolean algebras.
Mathematics Subject Classification ID: 06D35
zbMATH DE Number: 5314968
zbMATH Keywords: MV-pair
zbMATH Keywords: BG-pair
zbMATH Keywords: Boolean algebra
zbMATH Keywords: \(G\)-invariant ideal
author: Sylvia Pulmannová
author: Elena Vinceková
MaRDI profile type: Publication
full work available at URL: s00500-008-0282-3
OpenAlex ID: W1991787883
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DOI: 10.1007/S00500-008-0282-3
description: scientific article; zbMATH DE number 5314968