In 2011, tense θ-valued Łukasiewicz–Moisil algebras (or tense LM θ -algebras) were introduced by Chiriţă as an algebraic counterpart of the tense θ-valued Moisil propositional logic. In this paper we develop a topological ...

In 2007, tense n-valued Lukasiewicz-Moisil algebras (or tense LMn-algebras) were introduced by Diaconescu and Georgescu as an algebraic counterpart of the tense n-valued Moisil logic. In this article we continue the study ...

In 2011, Düntsch and Orlowska obtained a discrete duality for regular double Stone algebras. On the other hand, it is well known that regular double Stone algebras are polinominally equivalent to 3-valued Lukasiewicz-Moisil ...

In this note we characterize free algebras in varieties of MV-algebras generated by a finite chain L n as algebras of continuous functions from the spectrum of the Boolean skeleton of the free algebra into L n .

In this paper we describe the lattice of subvarieties of the variety ofmonadic Łukasiewicz-Moisil algebras. We then characterize all these subvarieties by means of identities.

Free algebras with an arbitrary number of free generators in varieties of BL-algebras generated by one BL-chain that is an ordinal sum of a finite MV-chain Ln and a generalized BL-chain B are described in terms of weak ...