Subalgebras, direct products and associated lattices of MV-algebras

Author:

Belluce L. P.,Di Nola A.,Lettieri A.

Abstract

MV-algebras were introduced by C. C. Chang [3] in 1958 in order to provide an algebraic proof for the completeness theorem of the Lukasiewicz infinite valued propositional logic. In recent years the scope of applications of MV-algebras has been extended to lattice-ordered abelian groups, AF C*-algebras [10] and fuzzy set theory [1].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. A note on maximal ideal spaces of distributive lattices;Swany;Bull. Calcutta Math. Soc.,1988

2. A. Di Nola and A. Lettieri, On some lattices quotients of MV-Algebras;Belluce;Ricerche di Matemat,1990

3. On commutative BCK-algebras;Romanoskwa;Math. Japon,1980

4. Algebraic analysis of many valued logics

5. 6. Cignoli R. , Nola A. Di and Lettieri A. , Priestley duality and quotient lattices of many-valued algebras, Rend. Circ. Matem. Palermo, to appear.

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2. The Reticulation of a Universal Algebr;Scientific Annals of Computer Science;2018-09-25

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4. Projective limits of MV-spaces;Order;1996-12

5. The Prime Spectrum of an MV-Algebra;Mathematical Logic Quarterly;1994

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