Results 1 to 10 of about 10,259 (205)
On a complete topological inverse polycyclic monoid [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2016 We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
S.O. Bardyla, O.V. Gutik
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On finest unitary extensions of topological monoids [PDF]
Topological Algebra and its Applications, 2015 We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative ...
Averbukh Boris G.
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Kuratowski Monoids of n-Topological Spaces [PDF]
Topological Algebra and its Applications, 2018 Generalizing the famous 14-set closure-complement Theorem of Kuratowski from 1922, we prove that for a set X endowed with n pairwise comparable topologies Ʈ1 ⊂ · · · ⊂ Ʈn, by repeated application of the operations of complement and closure in the ...
Banakh Taras +5 more
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On unitary extensions and unitary completions of topological monoids
Topological Algebra and its Applications, 2016 The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
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Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid [PDF]
پژوهشهای ریاضی, 2021 The fundamental role of algebraic properties in the development of the basics of computer science has led researchers to study the concepts of fuzzy automaton separatedness, connectedness, and reversibility on a large scale.In this paper, the general ...
khadijeh abolpour
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On topologies on the underlying set of a topological monoid induced by its unitary extensions [PDF]
Topological Algebra and its Applications, 2022 Extensions of a given topological monoid where all its unitary Cauchy filters converge, can induce di˙erent topologies on its underlying set. We study properties of these topologies and prove a condition under which the initial topology of this monoid is
Averbukh Boris G.
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Topological Methods for Studying Contextuality: N-Cycle Scenarios and Beyond [PDF]
Entropy, 2023 Simplicial distributions are combinatorial models describing distributions on spaces of measurements and outcomes that generalize nonsignaling distributions on contextuality scenarios.
Aziz Kharoof, Selman Ipek, Cihan Okay
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, 2020 We show how topological methods developed in a previous article can be applied to prove new results about topological and homological finiteness properties of monoids.
Gray, Robert D., Steinberg, Benjamin
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A criterion of the existence of an embedding of a monothetic monoid into a topological group [PDF]
Topological Algebra and its Applications, 2019 Using properties of unitary Cauchy filters on monothetic monoids, we prove a criterion of the existence of an embedding of such a monoid into a topological group.
Averbukh Boris G.
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Continuous Homomorphisms Defined on (Dense) Submonoids of Products of Topological Monoids [PDF]
Axioms, 2020 We study the factorization properties of continuous homomorphisms defined on a (dense) submonoid S of a Tychonoff product D = ∏ i ∈ I D i of topological or even topologized monoids.
Mikhail Tkachenko
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