On some properties of quasi-MV algebras and square root quasi-MV algebras. Part II

BOU F;PAOLI, FRANCESCO;LEDDA, ANTONIO;FREYTES, HECTOR CARLOS

2008-01-01

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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 root'QMV algebras, submitted). We provide two representation results for quasi-MV algebras in terms of MV algebras enriched with additional structure; we investigate the lattices of subvarieties and subquasivarieties of quasi-MV algebras; we show that quasi-MV algebras, as well as cartesian and flat root' quasi-MV algebras, have the amalgamation property