Results 31 to 40 of about 421,354 (246)
Irreducible highest weight representations of the simple n-Lie algebra [PDF]
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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The main aim of this article is to study tense MV-algebras which are just MV-algebras with new unary operations $G$ and $H$ which express a universal time quantifiers. Tense MV-algebras were introduced by D. Diagonescu and G. Georgescu. Using a new notion of an fm-function between MV-algebras we \zruseno{will prove} \zmena{settle a half of their Open ...
Michal Botur, Jan Paseka
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras
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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Normalization of $MV$-algebras [PDF]
Summary: We consider algebras determined by all normal identities of MV-algebras, i.e., algebras of many-valued logics. For such algebras, we present a representation based on a normalization of a sectionally involutioned lattice, i.e., a \(q\)-lattice, and another one based on a normalization of a lattice-ordered group.
Chajda, I. +3 more
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Stone MV-algebras and strongly complete MV-algebras [PDF]
15 ...
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Inverse topology in MV-algebras [PDF]
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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DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
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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The Weil algebra and the Van Est isomorphism [PDF]
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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Study of MV-algebras via derivations
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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Every uniformly Archimedean atomic MV-effect algebra is sharply dominating [PDF]
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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