Free topological acts over a topological monoid
, 2010 First we present the free topological S-acts on sets, on topological spaces, and as well as on S-acts. Then, we give more concrete description of these free objects in some cases.
Behnam Khosravi
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Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
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The topological shadow of F1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{{\mathbb {F}}}_1}$$\end{document}-geomet [PDF]
Mathematische Zeitschrift, 2023 In this paper we introduce congruence spaces, which are topological spaces that are canonically attached to monoid schemes and that reflect closed topological properties.
Oliver Lorscheid, Samarpita Ray
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Topology with monoidal control [PDF]
Homology, Homotopy and Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christensen, René Depont +1 more
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ON THE MONOID OF COFINITE PARTIAL ISOMETRIES OF N WITH A BOUNDED FINITE NOISE [PDF]
Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021, 2021 In the paper we study algebraic properties of the monoid IN ∞ of cofinite partial isometries of the set of positive integers N with the bounded finite noise j.
O. Gutik, Pavlo Khylynskyi
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Free inverse monoids are not ${\protect \rm FP}_2$
Comptes Rendus. Mathématique, 2021 We give a topological proof that a free inverse monoid on one or more generators is neither of type left-$\mathrm{FP}_2$ nor right-$\mathrm{FP}_2$. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.
Gray, Robert D., Steinberg, Benjamin
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On the Structure of Topological Spaces
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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A Levi–Civita Equation on Monoids, Two Ways
Annales Mathematicae Silesianae, 2022 We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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UPPER BOUND FOR MONOIDAL TOPOLOGICAL COMPLEXITY
Kyushu Journal of Mathematics, 2020 Summary: We show that \(\text{tc}^{\text{M}}(M) \leq 2 \text{ cat}(M)\) for a finite simplicial complex \(M\). For example, we have \(\text{tc}^{\text{M}}(S^n \vee S^m) = 2\) for any positive integers \(n\) and \(m\).
Iwase, Norio, Tsutaya, Mitsunobu
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