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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Published in:Algebra and Discrete Mathematics
Date:2018
Main Author: Protasov, I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188363
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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].
first_indexed 2025-11-24T05:05:34Z
format Article
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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