Maximal MV-algebras

Name: Maximal MV-algebras
Keywords: MV-algebras, Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic, semi-local, Lògica algebraica, De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects), ideals, direct product, maximal MV-algebra, local, Anells commutatius

Filipoiu, Alexandru; Georgescu, George; Lettieri, Ada

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Article . 1997

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Revistes Catalanes amb Accés Obert

Article . 1997

Full-Text: http://www.raco.cat/index.php/Mathware/article/download/84698/109695

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Recolector de Ciencia Abierta, RECOLECTA

Article . 1997

License: CC BY NC ND

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Recolector de Ciencia Abierta, RECOLECTA

Article . 1997

License: CC BY NC ND

Data sources: Recolector de Ciencia Abierta, RECOLECTA

zbMATH Open

Article . 1997

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Maximal MV-algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997 Spain English Publisher:Universitat Politècnica de Catalunya. Secció de Matemàtiques i InformàticaJournal:Mathware & soft computing

Authors: Filipoiu, Alexandru; Georgescu, George; Lettieri, Ada;

handle: 2099/3483

Maximal MV-algebras

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Abstract

In this paper we define maximal $MV$-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal $MV$-algebra is semilocal, then we characterize a maximal $MV$-algebras as finite direct product of local maximal $MV$-algebras.

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Spain

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Keywords

MV-algebras, Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic, semi-local, Lògica algebraica, De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects), ideals, direct product, maximal MV-algebra, local, Anells commutatius, :03 Mathematical logic and foundations::03G Algebraic logic [Classificació AMS], Chinese Remainder Theorem

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