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MEASURABLE REALIZATIONS OF ABSTRACT SYSTEMS OF CONGRUENCES [PDF]
Forum of Mathematics, Sigma, 2020 An abstract system of congruences describes a way of partitioning a space into finitely many pieces satisfying certain congruence relations. Examples of abstract systems of congruences include paradoxical decompositions and $n$-divisibility of actions ...
CLINTON T. CONLEY +2 more
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All Linear-Time Congruences for Familiar Operators [PDF]
Logical Methods in Computer Science, 2013 The detailed behaviour of a system is often represented as a labelled transition system (LTS) and the abstract behaviour as a stuttering-insensitive semantic congruence. Numerous congruences have been presented in the literature. On the other hand, there
Antti Valmari
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Fuzzy Set Theory Applied on Autometrized Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis paper introduces fuzzy subalgebras of autometrized algebras and studies their properties. Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings. We examine the homomorphisms of both the images and the
Gebrie Yeshiwas Tilahun
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Null Geodesic Congruences, Asymptotically-Flat Spacetimes and Their Physical Interpretation
Living Reviews in Relativity, 2009 A priori, there is nothing very special about shear-free or asymptotically shear-free null geodesic congruences. Surprisingly, however, they turn out to possess a large number of fascinating geometric properties and to be closely related, in the context ...
Ezra T Newman
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Null Geodesic Congruences, Asymptotically-Flat Spacetimes and Their Physical Interpretation
Living Reviews in Relativity, 2012 A priori, there is nothing very special about shear-free or asymptotically shear-free null geodesic congruences. Surprisingly, however, they turn out to possess a large number of fascinating geometric properties and to be closely related, in the context ...
Timothy Adamo, Ezra T Newman
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Removahedral Congruences versus Permutree Congruences [PDF]
The Electronic Journal of Combinatorics, 2021 The associahedron is classically constructed as a removahedron, i.e. by deleting inequalities in the facet description of the permutahedron. This removahedral construction extends to all permutreehedra (which interpolate between the permutahedron, the associahedron and the cube).
Albertin, Doriann +2 more
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Composition series on (Rees) congruences of S-acts. [PDF]
Categories and General Algebraic Structures with Applications, 2023 In this paper, we study composition series of subacts or congruences of S-acts. It is shown that composition series of subacts are exactly those that are both Rees artinian and Rees noetherian, i.e.
Roghaieh Khosravi, Mohammad Roueentan
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Teaching Congruences in Connection with Diophantine Equations
Education Sciences, 2021 The presented paper is devoted to the new teaching model of congruences of computer science students within the subject of discrete mathematics at universities.
Ďuriš Viliam +3 more
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A characterization of a ∼ admissible congruence on a weakly type B semigroup
Open Mathematics, 2023 In this article, the notions of ∼ \sim admissible congruences and ∼ \sim normal congruences on a weakly type B semigroup are characterized and the relationship between ∼ \sim admissible congruences and ∼ \sim normal congruences is investigated.
Li Chunhua +3 more
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Ratio Mathematica, 2022 Alan Day’s doubling construction of intervals has been found to affect some properties of the lattice of weak congruences of chains. Here, in this paper, we study how it affects the property of 0-distributivity of the lattice of weak congruences of ...
V Gladys Mano Amirtha, Premalatha D.
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