Filters and Semigroup Compactification Properties
Functional Analysis
2009-02-16 v1
Abstract
Stone-ech compactifications derived from a discrete semigroup can be considered as the spectrum of the algebra or as a collection of ultrafilters on . What is certain and indisputable is the fact that filters play an important role in the study of Stone-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-ech compactification to a semigroup compactification associated with a Hausdorff semitopological semigroup.
Cite
@article{arxiv.0902.2363,
title = {Filters and Semigroup Compactification Properties},
author = {M. Akbari Tootkaboni and H. R. E. Vishki},
journal= {arXiv preprint arXiv:0902.2363},
year = {2009}
}
Comments
To appear in Semigroup Forum