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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1875384740692885506 |
|---|---|
| author | Protasov, I.V. |
| author_facet | Protasov, I.V. |
| author_sort | Protasov, I.V. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-07-24T22:56:15Z |
| 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]. |
| first_indexed | 2025-12-02T15:38:05Z |
| format | Article |
| id | admjournalluguniveduua-article-1019 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:05Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spellingShingle | metric space ultrafilter ball invariance parallelity prime and strongly prime ultrafilters 22A15 54D35 54E15 Protasov, I.V. Some more algebra on ultrafilters in metric spaces |
| title | 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_short | Some more algebra on ultrafilters in metric spaces |
| title_sort | some more algebra on ultrafilters in metric spaces |
| topic | metric space ultrafilter ball invariance parallelity prime and strongly prime ultrafilters 22A15 54D35 54E15 |
| topic_facet | metric space ultrafilter ball invariance parallelity prime and strongly prime ultrafilters 22A15 54D35 54E15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1019 |
| work_keys_str_mv | AT protasovigorvladimirovich somemorealgebraonultrafiltersinmetricspaces |