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Equational characterization of all varieties of MV-algebras

- A. Nola, A. Lettieri
- Mathematics
- 15 November 1999

Abstract It is known that all subvarieties of MV-algebras are finitely axiomatizable. In the literature, one can find equational characterizations of certain subvarieties, such as MVn-algebras. In… Expand

Perfect MV-algebras are categorically equivalent to abelianl-groups

- A. Nola, A. Lettieri
- Mathematics, Computer Science
- Stud Logica
- 1 September 1994

In this paper we prove that the category of abelianl-groups is equivalent to the category of perfect MV-algebras. Furthermore, we give a finite equational axiomatization of the variety generated by… Expand

Algebraic analysis of fuzzy systems

- A. Nola, A. Lettieri, Irina Perfilieva, V. Novák
- Computer Science, Mathematics
- Fuzzy Sets Syst.
- 2007

In this paper, we have developed an algebraic theory, suitable for the analysis of fuzzy systems. We have used the notions of semiring and semimodule, introduced the notion of semilinear space, have… Expand

Representations of monadic MV -algebras

- L. P. Belluce, R. Grigolia, A. Lettieri
- Mathematics, Computer Science
- Stud Logica
- 1 October 2005

Representations of monadic MV -algebra, the characterization of locally finite monadic MV -algebras, with axiomatization of them, definability of non-trivial monadic operators on finitely generated… Expand

Equations with fuzzy numbers

- L. Biacino, A. Lettieri
- Mathematics, Computer Science
- Inf. Sci.
- 1 February 1989

Abstract Assuming that ∗ is any operation defined in the real number set, it can be extended to the fuzzy sets by Zadeh's extension principle. In this paper we study which conditions have to be… Expand

Representations of MV-algebras by sheaves

- Anna R. Ferraioli, Ada Lettieri
- Mathematics, Computer Science
- Math. Log. Q.
- 1 February 2011

In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein ([2]), we develop an approach to sheaf representations of MV-algebras which combines two techniques for the representation of… Expand

On varieties of MV-algebras with internal states

- A. Nola, A. Dvurecenskij, A. Lettieri
- Mathematics, Computer Science
- Int. J. Approx. Reason.
- 1 July 2010

In [4,5] the authors introduced the variety SMV of MV-algebras with an internal operator, state MV-algebras. In [2,3] the authors gave a stronger version of state MV-algebras, called state-morphism… Expand

Finite BL-algebras

- A. Nola, A. Lettieri
- Computer Science, Mathematics
- Discret. Math.
- 28 July 2003

BL-algebras were introduced by Hajek as algebraic structures of Basic Logic. The aim of this paper is to analyze the structure of finite BL-algebras. Extending the notion of ordinal sum, we… Expand

Projective MV-algebras

- A. Nola, R. Grigolia, A. Lettieri
- Computer Science, Mathematics
- Int. J. Approx. Reason.
- 1 March 2008

A characterization of finitely generated projective MV-algebras is given, introducing the new notions of correct partitions and e-relatively complete subalgebras.