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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2018 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188363 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some more algebra on ultrafilters in metric spaces / I. Protasov // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 286–293. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862531172811145216 |
|---|---|
| author | Protasov, I. |
| author_facet | Protasov, I. |
| citation_txt | Some more algebra on ultrafilters in metric spaces / I. Protasov // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 286–293. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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].
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| first_indexed | 2025-11-24T05:05:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188363 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T05:05:34Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I. 2023-02-25T15:02:34Z 2023-02-25T15:02:34Z 2018 Some more algebra on ultrafilters in metric spaces / I. Protasov // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 286–293. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC: 22A15, 54D35, 54E15. https://nasplib.isofts.kiev.ua/handle/123456789/188363 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]. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some more algebra on ultrafilters in metric spaces Article published earlier |
| spellingShingle | Some more algebra on ultrafilters in metric spaces Protasov, I. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188363 |
| work_keys_str_mv | AT protasovi somemorealgebraonultrafiltersinmetricspaces |