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annihilator of ideals in c(x)
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نویسنده
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mohamadian rostam
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منبع
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مدل سازي پيشرفته رياضي - 2024 - دوره : 14 - شماره : 3 - صفحه:94 -107
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چکیده
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Let i be an ideal of c(x). in this paper we show that ann(i) = oxn(i) and mann(i) = oxnintx(i), where (i) =t f2i clxz(f) and mi is the pure part of i. we also show that ann(ann(i)) = ointx(i) and mann(ann(i)) = oclxintx(i).finally, we show that a space x is a @-space if and only if every nonregular prime ideal of c(x) is a z-ideal.
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کلیدواژه
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annihilator ,stone{cech compactication ,pure ideal.
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آدرس
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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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annihilator of ideals in c(x)
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Authors
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Abstract
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let i be an ideal of c(x). in this paper we show that ann(i) = oxn(i) and mann(i) = oxnintx(i), where (i) =t f2i clxz(f) and mi is the pure part of i. we also show that ann(ann(i)) = ointx(i) and mann(ann(i)) = oclxintx(i).finally, we show that a space x is a @-space if and only if every nonregular prime ideal of c(x) is a z-ideal.
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Keywords
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annihilator ,stone{cech compactication ,pure ideal
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