Results 151 to 160 of about 1,626 (175)

COMPOSITION ON MV-ALGEBRAS

Journal of Algebra and Its Applications, 2006
In this paper we introduce an extension of MV-algebras obtained by adding a binary operation and a constant, with the aim of modelling composition of functions. The variety of Composition MV-algebra (CMV-algebra, for short) is defined and some results regarding ideals and congruences are stated.
DI NOLA, Antonio, FLONDOR P, GERLA B.
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Symmetric MV-Algebras

2007
The authors introduce the class of Symmetric MV-algebras. Such algebras have a suitable behavior with respect to a family of MV-polynomials. It turns out that the class of Symmetric MV-algebras can be characterized as the class of MV-algebras having homomorphic image in the variety generated by a single MV-chain with p+1 elements, where p=1 or p is a ...
DI NOLA, Antonio, BELLUCE P, LETTIERI A.
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Representations of monadic MV -algebras

Studia Logica, 2005
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BELLUCE L. P, GRIGOLIA R, LETTIERI, ADA
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MV-Algebras and Quantum Computation

Studia Logica, 2006
The authors give a generalization of MV-algebras which is motivated by a study of quantum computing, namely of quantum logical gates. A prototypical example is a unit circle with the center \(\langle \frac{1}{2}, \frac{1}{2} \rangle.\) These algebras are called quasi-MV-algebras, and it is shown that they can be embedded into the direct product of an ...
LEDDA, ANTONIO, KONIG M, PAOLI, FRANCESCO, GIUNTINI, ROBERTO   +3 more
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Hyperfinite MV-algebras

Journal of Pure and Applied Algebra, 2013
The paper concerns hyperfinite MV-algebras, which are infinite models of the theory of finite MV-algebras. MV-algebras were introduced in the fifties by \textit{C. C. Chang} in [Trans. Am. Math. Soc. 88, 467--490 (1958; Zbl 0084.00704)] as the algebraic counterpart of Łukasiewicz infinite-valued logic. The article is divided into eight sections, and as
Belluce, Lawrence Peter, DI NOLA, Antonio, LENZI, Giacomo   +2 more
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Tense pseudo MV-algebras

2015 4th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2015
In this paper, we introduce the notion of tense operators on pseudo MV-algebras and give some properties and related results. We also introduce the notions of tense filter and tense homomorphism in tense pseudo MV-algebras and give some homomorphism theorems.
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Vectorial MV-algebras

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2003
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Noje, D., Bede, B.
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On Product MV-Algebras

Czechoslovak Mathematical Journal, 2002
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On archimedean MV-algebras

Czechoslovak Mathematical Journal, 1998
An \(MV\)-algebra \(\mathcal A\) constructed by means of an abelian lattice ordered group \(G\) with a strong unit (\(G\) is uniquely determined by \(\mathcal A\)) is called archimedean (or semisimple) if \(G\) is archimedean. A non-empty subset \(\{a_j\mid j\in J\}\) of \(\mathcal A\) is said to be orthogonal if \(a_i\wedge a_j=0\) for all distinct ...
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On Free MV-Algebras

Czechoslovak Mathematical Journal, 2003
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