Filters and Semigroup Compactification Properties

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dc.creatorTootkaboni, M. Akbari
dc.creatorVishki, H. R. E.
dc.date2009-02-13
dc.date.accessioned2026-07-07T12:41:38Z
dc.date.available2026-07-07T12:41:38Z
dc.descriptionStone-$\breve{C}$ech compactifications derived from a discrete semigroup $S$ can be considered as the spectrum of the algebra $\mathcal{B}(S)$ or as a collection of ultrafilters on $S$. What is certain and indisputable is the fact that filters play an important role in the study of Stone-$\breve{C}$ech compactifications derived from a discrete semigroup. It seems that filters can play a role in the study of general semigroup compactifications too. In the present paper, first we review the characterizations of semigroup compactifications in terms of filters and then extend some of the results in \cite{Talin1} concerning the Stone-$\breve{C}$ech compactification to a semigroup compactification associated with a Hausdorff semitopological semigroup.
dc.descriptionTo appear in Semigroup Forum
dc.identifierhttps://arxiv.org/abs/0902.2363
dc.identifierhttp://arxiv.org/abs/0902.2363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219843
dc.subjectFunctional Analysis
dc.titleFilters and Semigroup Compactification Properties
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