On some properties of quasi-MV algebras and √′ quasi-MV algebras. Part II

The present paper is a sequel to Paoli F, Ledda A, Giuntini R, Freytes H (On some properties of QMV algebras and √′ 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 √′ quasi-MV algebras, have the amalgamation property. © Springer-Verlag 2007.We gratefully acknowledge the precious information and insights we gathered from conversations or e-mail exchanges with Roberto Giuntini and Danica Jakubikova-Studenovska. We are especially indebted to Matthew Spinks for his extensive and detailed comments on a preliminary draft of the paper. The first author is partially supported by Grants MTM2004-03101 and TIN2004-07933-C03-02 from the Spanish Ministerio de Educación y Ciencia and Grant 2001SGR-00017 from the Generalitat de CatalunyaPeer Reviewe

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

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 propert