Results 161 to 170 of about 9,960,876 (189)

Frink ideal topology of lattice effect algebras

Reports on Mathematical Physics, 2008
Effect algebras as bounded partial algebras are important as a model of quantum mechanics. There are many ways how to study topologies on effect algebras. The authors suggest to study the Frink topology in order to be compatible with partial operations appearing in effect algebras. This topology gives continuity properties.
Lei, Qiang, Wu, Junde, Li, Ronglu
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How to Produce S-Tense Operators on Lattice Effect Algebras

Foundations of Physics, 2014
The paper continues the study of tense operators on MV-algebras, published in [\textit{M. Botur} and \textit{J. Paseka}, ``On tense MV-algebras'', Fuzzy Sets Syst. (2014); {\url{doi:10.1016/j.fss.2014.06.006}}] and [\textit{J. Paseka}, Fuzzy Sets Syst. 232, 62--73 (2013; Zbl 1314.06016)] Here the results are extended to effect algebras. Effect algebras
Chajda, Ivan, Janda, Jiří, Paseka, Jan
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Fuzzy rough set based on lattice effect algebra

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, L -fuzzy rough sets as a further generalization of the notion of fuzzy rough sets are proposed. Moreover, some properties in lattice ordered effect algebra are presented. A group of approximation operators are defined by the new operation in effect algebra, which is introduced ...
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The logic of lattice effect algebras based on induced groupoids

J. Multiple Valued Log. Soft Comput., 2019
Summary: Effect algebras were introduced by Foulis and Bennett as the so-called quantum structures which describe quantum effects and are determined by the behaviour of bounded self-adjoint operators on the phase space of the corresponding physical system which is a Hilbert space.
Chajda, Ivan, Länger, Helmut, Paseka, Jan   +2 more
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Lattice effect algebras with (o)-continuous faithful valuations

Fuzzy Sets and Systems, 2001
Effect algebras have been introduced by \textit{D. J. Foulis} and \textit{M. K. Bennett} [``Effect algebras and unsharp quantum logics'', Found. Phys. 24, 1331-1352 (1994)] to study quantum effects which may be unsharp. The main result of this paper goes as follows: Theorem 5.4.
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Effective categoricity for distributive lattices and Heyting algebras

Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra

Journal of Algebra, 2022
Ching Hung Lam, Naoki Chigira
exaly  

Yang-Baxter Equation in Lattice Effect Algebras

2019
In this paper, we present lattice effect algebra by giving certain definitions and conceptions as to lattice effect algebra. We present new solutions to the set-theoratical Yang-Baxter equation by using lattice effect algebras.
ÖNER, Tahsin, KALKAN, Tuğçe, ÜLKER, Alper   +2 more
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Adding an identity to a Banach lattice algebra: a look at a Wickstead’s counter-example from a norm-free point of view

Positivity, 2021
Karim Boulabiar, Mounir Mahfoudhi
exaly  

Lattice effect algebras densely embeddable into complete ones

Kybernetika, 2011
The author studies MacNeille completions of effect algebras (as lattices). A necessary and sufficient condition for an Archimedean atomic lattice effect algebra is given such that its operation might be extended to its MacNeille completion to obtain a complete lattice effect algebra. Moreover, it is shown that there is at most one such extension.
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