Axiomatizing quantum MV-algebras

Name: Axiomatizing quantum MV-algebras
Creator: GIUNTINI, ROBERTO
Keywords: Complemented lattices, orthocomplemented lattices and posets, p-ideal, Quantun logic, weakly-linear QMV-algebra, ideal, perspective, MV-algebra, Anells commutatius, :03 Mathematical logic and foundations::03G Algebraic logic [Classificació AMS], QI-algebra

GIUNTINI, ROBERTO

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Recolector de Ciencia Abierta, RECOLECTA

Article . 1997

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Recolector de Ciencia Abierta, RECOLECTA

Article . 1997

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Archivio istituzionale della ricerca - Università di Cagliari

Article . 1997

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Axiomatizing quantum MV-algebras

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

Authors: GIUNTINI, ROBERTO;

handle: 2099/3485 , 11584/735

Axiomatizing quantum MV-algebras

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Abstract

We introduce the notion of {\it p-ideal\/} of a QMV-algebra and we prove that the class of all $p$-ideals of a QMV-algebra $\C M$ is in one-to-one correspondence with the class of all congruence relations of $\C M$.

Countries

Spain, Italy

Related Organizations

University of Cagliari
Italy
Universitat Polite`cnica de Catalunya
Spain
Universitat Politècnica de Catalunya
Spain

Keywords

Complemented lattices, orthocomplemented lattices and posets, p-ideal, Quantun logic, weakly-linear QMV-algebra, ideal, perspective, MV-algebra, Anells commutatius, :03 Mathematical logic and foundations::03G Algebraic logic [Classificació AMS], QI-algebra, implication, Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic, QMV-algebra, Lògica algebraica, quasi-linear QMV-algebra, congruence relation, prime ideal, Quantum logic, S-algebra, axiomatizability

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