Results 21 to 30 of about 354,525 (216)
Factorisation in Topological Monoids [PDF]
, 1999 The aim of this paper is sketch a theory of divisibility and factorisation in topological monoids, where finite products are replaced by convergent products. The algebraic case can then be viewed as the special case of discretely topologised topological monoids.
Jan Snellman
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On pseudocompact topological Brandt λ0-extensions of semitopological monoids [PDF]
Topological Algebra and its Applications, 2013 AbstractIn the paper we investigate topological properties of a topological Brandt λ0-extension B0λ(S) of a semitopological monoid S with zero. In particular we prove that for every Tychonoff pseudocompact (resp., Hausdorff countably compact, Hausdorff compact) semitopological monoid S with zero there exists a unique semiregular pseudocompact (resp ...
Gutik Oleg, Pavlyk Kateryna
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On locally compact semitopological O-bisimple inverse ω-semigroups
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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Analysis of Topological Endomorphism of Fuzzy Measure in Hausdorff Distributed Monoid Spaces [PDF]
Symmetry, 2019 The concepts of fuzzy sets and topology are widely applied to model various algebraic structures and computations. The dynamics of fuzzy measures in topological spaces having distributed monoid embeddings is an interesting topic in the presence of ...
S. Bagchi
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Topological Transformation Monoids [PDF]
, 2018 21 pages. The second version has a new result, showing that there is only one Polish semigroup topology on T(X) when X is ...
Mesyan, Z. +2 more
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On unitary Cauchy filters on topological monoids
Topological Algebra and its Applications, 2013 AbstractFor Hausdorff topological monoids, the concept of a unitary Cauchy net is a generalization of the concept of a fundamental sequence of reals. We consider properties and applications of such nets and of corresponding filters and prove, in particular, that the underlying set of a given monoid, endowed with the family of such filters, forms a ...
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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Topological Degree of Shift Spaces on Monoids [PDF]
, 2018 This paper considers the topological degree of $G$-shifts of finite type for the case where $G$ is a nonabelian monoid. Whenever the Cayley graph of $G$ has a finite representation and the relationships among the generators of $G$ are determined by a matrix $A$, the coefficients of the characteristic polynomial of $A$ are revealed as the number of ...
Ban, Jung-Chao +2 more
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Documenta MathematicaWe show how topological methods developed in a previous article can be applied to prove new results about topological and homological finiteness properties of monoids. A monoid presentation is called special if the right-hand side of each relation is equal to 1
Robert D. Gray, Benjamin Steinberg
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A left topological monoid associated to a topological groupoid [PDF]
, 2013 This paper presents a fanctor $S$ from the category of groupoids to the category of semigroups. Indeed, a monoid $S_G$ with a right zero element is related to a topological groupoid $G$. The monoid $S_G$ is a subset of $C(G,G)$, the set of all continuous functions from $G$ to $G$, and with the compact- open topology inherited from C(G,G) is a left ...
Habib Amiri
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