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

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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. 
@article{ADM_2018_25_2_a7,
     author = {Igor Protasov},
     title = {Some more algebra on ultrafilters in~metric~spaces},
     journal = {Algebra and discrete mathematics},
     pages = {286--293},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a7/}
}
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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/