On some properties of quasi-MV algebras and √{'} quasi-MV algebras. Part II

Authors:
Félix Bou;Francesco Paoli;Antonio Ledda;Hector Freytes
Affiliations:
IIIA-CSIC, Bellaterra, Spain;University of Cagliari, Department of Education, Cagliari, Italy;University of Cagliari, Department of Education, Cagliari, Italy;University of Cagliari, Department of Education, Cagliari, Italy
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue (pp 315-357) "Ordered structures in many-valued logic"
Year:
2007

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Abstract

The present paper is a sequel to Paoli F, Ledda A, Giuntini R,Freytes H (On some properties of QMV algebras and √' QMValgebras, submitted). We provide two representation results forquasi-MV algebras in terms of MV algebras enriched with additionalstructure; we investigate the lattices of subvarieties andsubquasivarieties of quasi-MV algebras; we show that quasi-MValgebras, as well as cartesian and flat √' quasi-MV algebras,have the amalgamation property.