On topologies on the underlying set of a topological monoid induced by its unitary extensions
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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On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero
Topological 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
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Positive answers to Koch’s problem in special cases
Topological Algebra and its Applications, 2020 A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact.
Banakh Taras +4 more
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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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A criterion of the existence of an embedding of a monothetic monoid into a topological group
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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Automatic continuity of homomorphisms between topological inverse semigroups
Topological Algebra and its Applications, 2018 We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.
Pastukhova Iryna
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Influence of <i>MTHFR</i> polymorphism, alone or in combination with smoking and alcohol consumption, on cancer susceptibility. [PDF]
Open Life Sci, 2023 Huang Y +6 more
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EMT alterations in the solute carrier landscape uncover SLC22A10/A15 imposed vulnerabilities in pancreatic cancer. [PDF]
iScience, 2022 Nayak D +7 more
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Effect of 6-Benzoyl-benzothiazol-2-one scaffold on the pharmacological profile of α-alkoxyphenylpropionic acid derived PPAR agonists. [PDF]
J Enzyme Inhib Med Chem, 2020 Hurtevent A +10 more
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On pseudocompact topological Brandt λ0-extensions of semitopological monoids
Topological Algebra and its Applications, 2013 Gutik Oleg, Pavlyk Kateryna
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