$z^circ$-filters and related ideals in $c(x)$
نویسندگان
چکیده
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.
منابع مشابه
$z^circ$-filters and related ideals in $C(X)$
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 ...
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عنوان ژورنال:
algebraic structures and their applicationsجلد ۲، شماره ۲، صفحات ۵۷-۶۶
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