Results 31 to 40 of about 1,626 (175)
Lukasiewicz logic and Riesz spaces [PDF]
, 2013 We initiate a deep study of {\em Riesz MV-algebras} which are MV-algebras endowed with a scalar multiplication with scalars from $[0,1]$. Extending Mundici's equivalence between MV-algebras and $\ell$-groups, we prove that Riesz MV-algebras are ...
Di Nola, Antonio, Leustean, Ioana
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On MV-algebras of non-linear functions [PDF]
Categories and General Algebraic Structures with Applications, 2017 In this paper, the main results are:a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;a study of Hopfian MV-algebras; anda category-theoretic study of the map sending an MV-algebra ...
Antonio Di Nola +2 more
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International Journal of Approximate Reasoning, 2011 We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras.
Dvurecenskij A. +2 more
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Study of MV-algebras via derivations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 The main goal of this paper is to give some representations of MV-algebras in terms of derivations. In this paper, we investigate some properties of implicative and difference derivations and give their characterizations in MV-algebras.
Wang Jun Tao, She Yan Hong, Qian Ting
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras
Scientific Annals of Computer Science, 2021 We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of ...
Afrodita Iorgulescu
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Subdirectly Irreducible MV-Algebras [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On complete $MV$-algebras [PDF]
Czechoslovak Mathematical Journal, 1995 An element \(x\) of an \(MV\)-algebra (also called a Wajsberg algebra) is called an \(\alpha\)-atom if the interval \([0,x ]\) is a chain of cardinality \(\alpha\). The algebra \(A\) is said to be \(\alpha\)-atomic if for every \(y\in A\setminus \{0\}\) there is an \(\alpha\)-atoms \(x\) such that \(x\leq y\).
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Logical entropy of dynamical systems in product MV-algebras and general scheme
Advances in Difference Equations, 2019 The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
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Some results on pseudo MV-algebras with n-roots
Ratio MathematicaThe paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
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Some Examples of BL-Algebras Using Commutative Rings
Mathematics, 2022 BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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