شماره ركورد كنفرانس :
3502
عنوان مقاله :
Uniform points in semitopological semigroups
Author/Authors :
M Akbari Tootkaboni Department of Mathematics - Shahed University of Tehran , A Bagheri Sales Department of Mathematics - Qom University
كليدواژه :
The Stone-Cech compactification , uniform point , Lmc-compactification
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Let S be a Hausdorff non-compact semitopological semigroup. Since Lmc-compactification
has been described by e– ultrafilters, the norm of e– ultrafilters can be defined. In a discrete case, every
e– ultrafilter is an ultrafilter and so this two definition in discrete case are equivalent. In this paper, uniform
e– ultrafilter points are defined and it is shown that if S is left cancellative, then the collection of all uniform
e– ultrafilters is a left ideal of SLmc. Also if S is cancellative, then the collection of all uniform e– ultrafilters is an ideal of SLmc.