On some properties of quasi-MV algebras and $$\sqrt{^{\prime}}$$ quasi-MV algebras. Part II

Abstract

The present paper is a sequel to Paoli F, Ledda A, Giuntini R, Freytes H (On some properties of QMV algebras and $$\sqrt{^{\prime}}$$ 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 $$\sqrt{^{\prime}}$$ quasi-MV algebras, have the amalgamation property.