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    •   صفحهٔ اصلی
    • نشریات انگلیسی
    • Algebraic Structures and Their Applications
    • Volume 2, Issue 2
    • مشاهده مورد
    •   صفحهٔ اصلی
    • نشریات انگلیسی
    • Algebraic Structures and Their Applications
    • Volume 2, Issue 2
    • مشاهده مورد
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    $z^circ$-filters and related ideals in $C(X)$

    (ندگان)پدیدآور
    Mohamadian, Rostam
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    نوع مدرک
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    Research Paper
    زبان مدرک
    English
    نمایش کامل رکورد
    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.
    کلید واژگان
    $z^circ$-filter
    prime $z^circ$-filter
    ci-free $z^circ$-filter
    i-free $z^circ$-filter
    $z^circ$-ultrafilter
    i-compact

    شماره نشریه
    2
    تاریخ نشر
    2015-11-01
    1394-08-10
    ناشر
    Yazd University
    سازمان پدید آورنده
    Shahid Chamran University of Ahvaz

    شاپا
    2382-9761
    2423-3447
    URI
    http://as.yazd.ac.ir/article_807.html
    https://iranjournals.nlai.ir/handle/123456789/416736

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