$z^circ$-filters and related ideals in $C(X)$
(ندگان)پدیدآور
Mohamadian, Rostam
نوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
In this article we introduce the concept of $z^circ$-filter on a topological space $X$. We study and investigate the behavior of $z^circ$-filters and compare them with corresponding ideals, namely, $z^circ$-ideals of $C(X)$, the ring of real-valued continuous functions on a completely regular Hausdorff space $X$. It is observed that $X$ is a compact space if and only if every $z^circ$-filter is ci-fixed. Finally, by using $z^circ$-ultrafilters, we prove that any arbitrary product of i-compact spaces is i-compact.
کلید واژگان
$z^circ$-filterprime $z^circ$-filter
ci-free $z^circ$-filter
i-free $z^circ$-filter
$z^circ$-ultrafilter
i-compact
شماره نشریه
2تاریخ نشر
2015-11-011394-08-10
ناشر
Yazd Universityسازمان پدید آورنده
Shahid Chamran University of Ahvazشاپا
2382-97612423-3447
Related items
Showing items related by title, author, creator and subject.
-
Semi-G-filters, Stonean filters, MTL-filters, divisible filters, BL-filters and regular filters in residuated lattices
Busneag, D.؛ Piciu, D. (University of Sistan and Baluchestan, 2016-02-01)At present, the filter theory of $BL$textit{-}algebras has been widelystudied, and some important results have been published (see for examplecite{4}, cite{5}, cite{xi}, cite{6}, cite{7}). In other works such ...
-
A new structure for current-mode continuous time Gm-C filters
پدیدآور نامشخص (Shiraz University, 2011-01-01)In this paper a new structure for the MLF (Multi Loop Feedback) Gm-C group of filters is presented, granting the advantages of both current-mode and fully balanced topologies to the conventional structure of the group. The ...
-
ABSORBENT ORDERED FILTERS AND THEIR FUZZIFICATIONS IN IMPLICATIVE SEMIGROUPS
Jun, Young Bae؛ Park, Chul Hwan؛ Prince Williams, D. R. (University of Sistan and Baluchestan, 2009-02-01)The notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. Relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive ...