Using Vaggione's concept of central element in a double-pointed algebra, we introduce the
notion of Boolean-like variety as a generalisation of Boolean algebras to an arbitrary …

In this paper, we introduce the notion of weak filters in quasi-pseudo-BL algebras. First, we
discuss the properties of weak filters of a quasi-pseudo-BL algebra and characterize the …

Quasi-pseudo-MV algebras (quasi-pMV algebras, for short) were introduced both as the
generalization of quasi-MV algebras and as the generalization of pseudo-MV algebras. In …

We introduce a non-commutative generalization of quasi-MV algebra, called quasipseudo-
MV algebra. We present some properties of quasi-pseudo-MV algebras and investigate the …

In the theory of lattice-ordered groups, there are interesting examples of properties—such as
projectability—that are defined in terms of the overall structure of the lattice-ordered group …

In the present paper, which is a sequel to [20, 4, 12], we investigate further the structure
theory of quasi-MV algebras and√ quasi-MV algebras. In particular: we provide a new …

In this paper we study various forms of (hereditary) structural completeness for
quasivarieties of algebras, using mostly algebraic techniques. More specifically we study …

We give a new construction of free distributive p-algebras. Our construction relies on a
detailed description of completely meet-irreducible congruences, so it is purely universal …

Abstract'′ quasi-MV algebras arising from quantum computation are term expansions of
quasi-MV algebras. In this paper, we introduce a generalization of'′ quasi-MV algebras …

Quasi-pseudo-MV algebras (quasi-pMV algebras, for short) arising from quantum
computational logics are the generalizations of both quasi-MV algebras and pseudo-MV …