Some more algebra on ultrafilters in metric spaces
We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech compactification of a discrete group as a right topological semigroup [3]....
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-1019 |
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oai:ojs.admjournal.luguniv.edu.ua:article-10192018-07-24T22:56:15Z Some more algebra on ultrafilters in metric spaces Protasov, Igor Vladimirovich metric space, ultrafilter, ball invariance, parallelity, prime and strongly prime ultrafilters 22A15, 54D35, 54E15 We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech compactification of a discrete group as a right topological semigroup [3]. Our approach is based on the concept of parallelity introduced in the context of balleans in [4]. Lugansk National Taras Shevchenko University 2018-07-25 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019 Algebra and Discrete Mathematics; Vol 25, No 2 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1019/299 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-07-24T22:56:15Z |
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OJS |
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English |
| topic |
metric space ultrafilter ball invariance parallelity prime and strongly prime ultrafilters 22A15 54D35 54E15 |
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metric space ultrafilter ball invariance parallelity prime and strongly prime ultrafilters 22A15 54D35 54E15 Protasov, Igor Vladimirovich Some more algebra on ultrafilters in metric spaces |
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metric space ultrafilter ball invariance parallelity prime and strongly prime ultrafilters 22A15 54D35 54E15 |
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Article |
| author |
Protasov, Igor Vladimirovich |
| author_facet |
Protasov, Igor Vladimirovich |
| author_sort |
Protasov, Igor Vladimirovich |
| title |
Some more algebra on ultrafilters in metric spaces |
| title_short |
Some more algebra on ultrafilters in metric spaces |
| title_full |
Some more algebra on ultrafilters in metric spaces |
| title_fullStr |
Some more algebra on ultrafilters in metric spaces |
| title_full_unstemmed |
Some more algebra on ultrafilters in metric spaces |
| title_sort |
some more algebra on ultrafilters in metric spaces |
| description |
We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech compactification of a discrete group as a right topological semigroup [3]. Our approach is based on the concept of parallelity introduced in the context of balleans in [4]. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019 |
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AT protasovigorvladimirovich somemorealgebraonultrafiltersinmetricspaces |
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2025-07-17T10:34:07Z |
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