20.500.12556/RUL-154164 On some generalization of the bicyclic semigroup: the topological version 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. topological semigroup semitopological semigroup bicyclic semigroup closure embedding Baire space топологічна напівгрупа напівтопологічна напівгрупа біциклічна напівгрупа замикання занурення берівський простір true false true Angleški jezik Ukrajinski jezik Recenzirani rokopis članka je v Repozitorij Univerze v Ljubljani shranjen z dovoljenjem založnika. (Datum opombe: 29. 1. 2024) Članek v reviji 2024-01-29 07:30:54 2024-01-29 07:30:57 2024-01-30 03:45:05 0000-00-00 00:00:00 2022 0 0 Str. 56-71 Iss. 94 2022 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.536 2078-3744 10.30970/vmm.2022.94.056-071 182170115 Cencelj_Matija_2022.pdf Cencelj_Matija_2022.pdf 1 AF1797666F6CC26E4C470C92A6D3B12F 32ee8c1d63af88fcc5f52047b21c1a015959f502fce369274c463b3194c46082 e970f861-be8f-11ee-8336-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=180377 http://publications.lnu.edu.ua/bulletins/index.php/mmf/article/view/12101 1 f6475f08-be6f-11ee-8336-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=180371 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0