On a locally compact monoid of cofinite partial isometries of \(\mathbb{N}\) with adjoined zero

DOI10.1515/taa-2022-0130OpenAlexW4320084104MaRDI QIDQ2682779

Pavlo Khylynskyi, Oleg V. Gutik

Publication date: 1 February 2023

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15000

zbMATH Keywords

semitopological semigrouptopological semigrouplocally compactpartial isometrydiscreteinverse semigrouppartial bijectionbicyclic monoid

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Structure of topological semigroups (22A15) Inverse semigroups (20M18) Local compactness, (sigma)-compactness (54D45)

Related Items (1)

On a semitopological semigroup \(\boldsymbol{B}_{\omega}^{\mathscr{F}}\) when a family \(\mathscr{F}\) consists of inductive non-empty subsets of \(\omega \)

Cites Work

• Unnamed Item
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• Unnamed Item
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• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Compact monothetic semigroups
• Compact semitopological semigroups: An intrinsic theory
• On topological McAlister semigroups
• Positive answers to Koch's problem in special cases
• When a locally compact monothetic semigroup is compact
• Larger locally compact monothetic semigroups
• Topologische Halbgruppen mit dichter submonogener Unterhalbgruppe
• On locally compact semitopological graph inverse semigroups
• Topological monoids of monotone injective partial selfmaps of ℕ with cofinite domain and image
• On Monothetic Semigroups
• A locally compact noncompact monothetic semigroup with identity
• ON THE MONOID OF COFINITE PARTIAL ISOMETRIES OF N WITH A BOUNDED FINITE NOISE
• On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers
• Classifying locally compact semitopological polycyclic monoids
• Some Results on Stability in Semigroups
• The semigroup of partial co-finite isometries of positive integers
• Bisimple ω-Semigroups
• On the Closure of the Bicyclic Semigroup

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