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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: $z^circ$-filter,prime $z^circ$-filter,ci-free $z^circ$-filter,i-free $z^circ$-filter,$z^circ$-ultrafilter,i-compact
- چکیده:
- چکیده انگلیسی: 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.
- انتشار مقاله: 17-12-1394
- نویسندگان: Rostam Mohamadian,Rostam Mohamadian,Rostam Mohamadian
- مشاهده