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POSET PROPERTIES WITH RESPECT TO SEMI-IDEAL BASED ZERO-DIVISOR GRAPH
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نویسنده
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porselvi k. ,elavarasan b.
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منبع
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journal of algebra and related topics - 2021 - دوره : 9 - شماره : 2 - صفحه:111 -120
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چکیده
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In this paper, we discuss some properties of poset p determined by semi-ideal based zero-divisor graph gk(p), for a semi-ideal k of p. we investigate some interesting properties if gk(p) contains a cycle. further, we prove that if v (gk(p)) is a generalized tree, then (v (gk(p))sx)∪k and (v (gk(p))s≥x)∪ k are prime semi-ideals of p.
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کلیدواژه
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Posets ,semi-ideals ,prime semi-ideals ,cycle and neighborhood
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آدرس
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karunya institute of technology and sciences, department of mathematics, India, karunya institute of technology and sciences,, department of mathematics, India
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پست الکترونیکی
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belavarasan@gmail.com
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Authors
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