Results 1 to 10 of about 354,525 (216)

On a complete topological inverse polycyclic monoid [PDF]

open access: diamondKarpatsʹkì 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
doaj   +10 more sources

Non-archimedean topological monoids [PDF]

open access: hybridSemigroup Forum, 2023
We say that a topological monoid S is left non-archimedean (in short: l-NA) if the left action of S on itself admits a proper S-compactification ν:S↪Y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
M. Megrelishvili, Menachem Shlossberg
semanticscholar   +8 more sources

Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid [PDF]

open access: diamondپژوهش‌های 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
doaj   +3 more sources

Topological Methods for Studying Contextuality: N-Cycle Scenarios and Beyond [PDF]

open access: yesEntropy, 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
doaj   +4 more sources

A criterion of the existence of an embedding of a monothetic monoid into a topological group [PDF]

open access: diamondTopological 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.
doaj   +3 more sources

On topologies on the underlying set of a topological monoid induced by its unitary extensions [PDF]

open access: diamondTopological 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.
doaj   +3 more sources

Toposes of Topological Monoid Actions [PDF]

open access: diamondCompositionality, 2021
We demonstrate that categories of continuous actions of topological monoids on discrete spaces are Grothendieck toposes. We exhibit properties of these toposes, giving a solution to the corresponding Morita-equivalence problem.
Morgan Rogers
semanticscholar   +5 more sources

Kuratowski Monoids of n-Topological Spaces [PDF]

open access: diamondTopological 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
doaj   +6 more sources

Topological groups with co-monoid structures [PDF]

open access: bronzeGlasgow Mathematical Journal, 1977
The Eckman–Hilton duality [4] reverses arrows in diagrams, turns products to co-products, and multiplications to co-multiplications, etc. In accordance with this process, Kan [5] obtained the dual of a monoid structure in the category of groups. In this way, we obtain co-monoid structures on topological groups. The main result of this paper is that for
E. Katz
semanticscholar   +4 more sources

On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero [PDF]

open access: yesTopological Algebra and its Applications, 2022
Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
doaj   +2 more sources

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