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z°-filters and related ideals in c(x)
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نویسنده
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mohamadian rostam
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منبع
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journal of algebraic structures and their applications - 2015 - دوره : 2 - شماره : 2 - صفحه:57 -66
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چکیده
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In this article we introduce the concept of z°-filter on a topological space x. we study and investigate the behavior of z°-filters and compare them with corresponding ideals, namely, z°-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°-filter is ci-fixed. finally, by using z°-ultrafilters, we prove that any arbitrary product of i-compact spaces is i-compact.
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کلیدواژه
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z°-filter ,prime z°-filter ,ci-free z°-filter ,i-free z°-filter ,z°-ultrafilter ,i-compact
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آدرس
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shahid chamran university of ahvaz, faculty of mathematical sciences & computer,, department of mathematics, ایران
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پست الکترونیکی
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mohamadian r@scu.ac.ir
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Authors
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