Local MV-algebras
type: Item
instance of: scholarly article
title: Local MV-algebras
zbMATH Open document ID: 0817.06011
DOI: 10.1007/BF02844626
author: Antonio Di Nola
author: Peter L. Belluce
author: Ada Lettieri
publication date: 1994-08-22T00:00:00Z
review text: A classification of local MV-algebras is obtained. Specifically, these are either locally finite, perfect, or neither. An MV-algebra is local if and only if it has a unique maximal ideal. For a totally ordered MV- algebra \(T\), a necessary and sufficient condition for \(T/\text{Rad }T\) to be a retract of \(T\) is obtained.
Mathematics Subject Classification ID: 06D30
zbMATH DE Number: 604865
zbMATH Keywords: locally finite MV-algebras
zbMATH Keywords: perfect MV-algebras
zbMATH Keywords: local MV-algebras
zbMATH Keywords: retract
MaRDI profile type: Publication
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cites work: Q3832566
full work available at URL: https://doi.org/10.1007/bf02844626
OpenAlex ID: W3191384854
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 604865