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On some generalization of the bicyclic semigroup: the topological versionCencelj, Matija, 1958- ; Gutik, Oleg ; Repovš, Dušan, 1954-We show that every Hausdorff Baire topology ▫$\tau$▫ on ▫${\cal C} = \langle a,b | a^2b=a, ab^2=b \rangle$▫ such that ▫$({\cal C},\tau)$▫ is a semitopological semigroup is discrete and we construct a ... nondiscrete Hausdorff semigroup topology on ▫${\cal C}$▫. We also discuss the closure of a semigroup ▫${\cal C}$▫ in a semitopological semigroup and prove that ▫${\cal C}$▫ does not embed into a topological semigroup with the countably compact square.Source: Vìsnik Lʹvìvsʹkogo unìversitetu. Serìâ mehaniko-matematična = Visnyk of the Lviv University. Series mechanics and mathematics. - ISSN 2078-3744 (Vip. 94, 2022, str. 56-71)Type of material - article, component part ; adult, seriousPublish date - 2022Language - englishCOBISS.SI-ID - 182170115
Author
Cencelj, Matija, 1958- |
Gutik, Oleg |
Repovš, Dušan, 1954-
Topics
topological semigroup |
semitopological semigroup |
bicyclic semigroup |
closure |
embedding |
Baire space
Author | Cencelj, Matija, 1958- ; Gutik, Oleg ; Repovš, Dušan, 1954- |
Title | On some generalization of the bicyclic semigroup: the topological version |
Publication date | 2024-01-29 |
COBISS.SI-ID | 182170115 |
Publication version in repository | Postprint, author's finally reviewed version, accepted for publication |
Publication licence | Unidentified |
Embargo | Unidentified |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Topologija in njena uporaba | P1-0292-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Geometrija in topologija 3-mnogoterosti | J1-4144-2011 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
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http://publications.lnu.edu.ua/bulletins/index.php/mmf/article/view/12101 |
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=154164 |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Cencelj, Matija, 1958- | 03342 |
Gutik, Oleg | |
Repovš, Dušan, 1954- | 07083 |
Source: Personal bibliographies
and: SICRIS
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