Some more algebra on ultrafilters in metric spaces

• 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
• 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.

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]....