On the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}_n}$, which is generated by the family $\mathscr{F}_n$ of finite bounded intervals of $\omega$

DOI10.15330/cmp.15.2.331-355arXiv2208.09155OpenAlexW4385703295MaRDI QIDQ6145262

Oleg V. Gutik, Unnamed Author

Publication date: 31 January 2024

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09155

zbMATH Keywords

compactnesssemitopological semigrouptopological semigroupinverse semigroupclosurebicyclic monoidRees congruencebicyclic extension\( \omega_{\mathfrak{d}} \)-compactness

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Compactness (54D30) Structure of topological semigroups (22A15) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

• Unnamed Item
• On the closure of the extended bicyclic semigroup
• On a complete topological inverse polycyclic monoid
• On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

This page was built for publication: On the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}_n}$, which is generated by the family $\mathscr{F}_n$ of finite bounded intervals of $\omega$