Results 21 to 30 of about 986 (204)
Galois conjugation and multiboundary entanglement entropy
Journal of High Energy Physics, 2020 We revisit certain natural algebraic transformations on the space of 3D topological quantum field theories (TQFTs) called “Galois conjugations.” Using a notion of multiboundary entanglement entropy (MEE) defined for TQFTs on compact 3-manifolds with ...
Matthew Buican, Rajath Radhakrishnan
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On Implicative Derivations of MTL-Algebras
Axioms, 2022 This paper introduces the implicative derivations and gives some of their characterizations on MTL-algebras. Furthermore, we provide some representation of MTL-algebras by implicative derivations and obtain some representation of Boolean algebra via the ...
Jianxin Liu +3 more
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A Galois connection between distance functions and inequality relations [PDF]
, 1974 summary:Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set $S$ and inequality relations on $X_{S}=S \times \mathbb{R}$.
Száz, Árpád +2 more
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Galois connections between sets of paths and closure operators in simple graphs
Open Mathematics, 2018 For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
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An Explanation of the Landauer bound and its ineffectiveness with regard to multivalued logic
Technical Transactions, 2020 We discuss, using recent results on the thermodynamics of multivalued logic, the difficulties and pitfalls of how to apply the Landauer’s principle to thermodynamic computer memory models. The presentation is based on Szilard’s version of Maxwell’s demon
Kycia Radosław A. +1 more
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A domain-theoretic investigation of posets of sub-sigma-algebras (extended abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 Given a measurable space (X, M) there is a (Galois) connection between sub-sigma-algebras of M and equivalence relations on X. On the other hand equivalence relations on X are closely related to congruences on stochastic relations.
Ingo Battenfeld
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New directions in general fuzzy automata: a dynamic-logical view [PDF]
AUT Journal of Mathematics and Computing, 2020 In the current study, by a general fuzzy automaton we aim at showing a set of propositions related to a given automaton showing that the truth-values are depended on thestates, inputs and membership values of active states at time t.
Khadijeh Abolpour +2 more
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Self-Dual Normal Basis of a Galois Ring
Journal of Mathematics, 2014 Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
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The Order of Hypersubstitutions of Type (2,1)
International Journal of Mathematics and Mathematical Sciences, 2011 Hypersubstitutions are mappings which map operation symbols to terms of the corresponding arities. They were introduced as a way of making precise the concept of a hyperidentity and generalizations to 𝑀-hyperidentities.
Tawhat Changphas, Wonlop Hemvong
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ESSENTIAL AND RETRACTABLE GALOIS CONNECTIONS [PDF]
Journal of Algebra and Its Applications, 2013 For bounded lattices, we introduce certain Galois connections, called (cyclically) essential, retractable and UC Galois connections, which behave well with respect to concepts of module-theoretic nature involving essentiality. We show that essential retractable Galois connections preserve uniform dimension, whereas essential retractable UC Galois ...
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