MVW-rigs and product MV-algebras

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Journal of Applied Non-Classical Logics 29 (1):78-96 (2018)
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Abstract

ABSTRACTWe introduce the variety of Many-Valued-Weak rigs. We provide an axiomatisation and establish, in this context, basic properties about ideals, homomorphisms, quotients and radicals. This new class contains the class of product MV-algebras presented by Di Nola and Dvurečenskij in 2001 and by Montagna in 2005. The main result is the compactness of the prime spectrum of this new class, endowed with the co-Zariski topology as defined by Dubuc and Poveda in 2010.

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2019

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10.1080/11663081.2018.1534795

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Citations of this work

A set-theoretic proof of the representation of MV-algebras by sheaves.Alejandro Estrada & Yuri A. Poveda - 2022 - Journal of Applied Non-Classical Logics 32 (4):317-334.

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References found in this work

An algebraic approach to propositional fuzzy logic.Franco Montagna - 2000 - Journal of Logic, Language and Information 9 (1):91-124.
Representation theory of MV-algebras.Eduardo J. Dubuc & Yuri A. Poveda - 2010 - Annals of Pure and Applied Logic 161 (8):1024-1046.

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