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filters of coz(x)
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نویسنده
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bhattacharjee papiya ,drees kevin m.
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منبع
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categories and general algebraic structures with applications - 2017 - دوره : 7 - شماره : 1 - صفحه:107 -123
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چکیده
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In this article we investigate filters of cozero sets for real-valued continuous functions, called coz-filters. much is known for z-ultrafilters and their correspondence with maximal ideals of c(x). similarly, a correspondence will be established between coz-ultrafilters and minimal prime ideals of c(x). we will further notice various properties of coz-ultrafilters in relation to p-spaces and f-spaces. in the last two sections, the collection of cozultrafilters will be topologized, and then compared to the hull-kernel and the inverse topologies placed on the collection of minimal prime ideals of c(x) and general lattice-ordered groups.
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کلیدواژه
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cozero sets ,ultrafilters ,minimal prime ideals ,inverse topology ,p-space ,f-space ,l-groups
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آدرس
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penn state behrend, school of science, usa, mercyhurst university, department of mathematics and information technology, usa
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پست الکترونیکی
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kevin.drees@gmail.com
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Authors
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