Results 31 to 40 of about 421,344 (241)
Irreducible highest weight representations of the simple n-Lie algebra [PDF]
, 2012 A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the ...
Dana Bălibanu +5 more
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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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DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
Honam Mathematical Journal, 2016 Summary: In this paper, we investigate some new results in MV-algebras and (strong) hyper MV-algebras. We show that for any infinite countable set \(M\), we can construct an MV-algebra and a strong hyper MV-algebra on \(M\). Specially, for any infinite totally bounded set, we can construct a strong hyper MV-algebra on it.
Hamidi, M., Borzooei, R. A.
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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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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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Inverse topology in MV-algebras [PDF]
Mathematica Bohemica, 2019 We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh +2 more
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FLAP, 2016 The aim of the paper is to study epicomplete objects in the category of $MV$-algebras. A relation between injective $MV$-algebras and epicomplete $MV$-algebras is found, an equivalence condition for an $MV$-algebra to be epicomplete is obtained, and it is shown that the class of divisible $MV$-algebras and the class of epicomplete $MV$-algebras are the
Anatolij Dvurecenskij, Omid Zahiri
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The Weil algebra and the Van Est isomorphism [PDF]
, 2011 This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic +9 more
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Every uniformly Archimedean atomic MV-effect algebra is sharply dominating [PDF]
, 2010 summary:Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is uniformly Archimedean then it is sharply ...
Olejček, Vladimír
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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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