Geodesic
Some more algebra on ultrafilters in~metric~spaces
Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 286-293.

Voir la notice de l'article provenant de la source Math-Net.Ru

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].
Keywords: metric space, ultrafilter, ball invariance, parallelity, prime and strongly prime ultrafilters. 
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Igor Protasov. Some more algebra on ultrafilters in~metric~spaces. Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 286-293. http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a7/

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