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on the essential cp-spaces
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نویسنده
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majidipour saham ,namdari mehrdad ,soltanpour somayeh ,mohamadian rostam
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منبع
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journal of algebraic structures and their applications - 2022 - دوره : 9 - شماره : 2 - صفحه:97 -111
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چکیده
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Let cc(x) be the functionally countable subalgebra of c(x). essential cpspaces are introduced and investigated algebraically and topologically. it is shown that if x is a proper essential cp-space, then mcc(x) is compact if and only if {η} is a gδ, where η is the only non cp-point of x and mcc(x) is the space of minimal prime ideals of cc(x) which are not maximal. quasi fc-spaces, c-basically disconnect spaces, almost cp-spaces and almost essential cp-spaces are introduced and studied via essential cp-spaces. finally, cc(x) as a csv -ring where x is an essential cp-space is investigated.
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کلیدواژه
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almost cp-point ,c-basically disconnected ,essential almost cp-point ,essential cp-space ,fc-space ,quasifc-space ,space of minimal prime ideals ,von neumann local regular ring
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آدرس
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shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, iran, shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, iran, petroleum university of technology, ahvaz faculty of petroleum, department of science, iran, shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, iran
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پست الکترونیکی
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mohamadian_r@scu.ac.ir
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Authors
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