A Survey on the Intersection Graphs of Ideals of Rings
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نویسنده
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Chakrabarty Ivy ,Kureethara Joseph Varghese
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منبع
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Communications In Combinatorics And Optimization - 2022 - دوره : 7 - شماره : 2 - صفحه:121 -167
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چکیده
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Let l(r) denote the set of all non-trivial left ideals of a ring r. the intersection graph of ideals of a ring r is an undirected simple graph denoted by g(r) whose vertices are in a one-to-one correspondence with l(r) and two distinct vertices are joined by an edge if and only if the corresponding left ideals of r have a non-zero intersection. the ideal structure of a ring re ects many ring theoretical properties. there is so much research that has been conducted during the last decade to explore the properties of g(r). this is a survey of the developments in the study on the intersection graphs of ideals of rings since its introduction in 2009.
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کلیدواژه
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Ring ,Ideal Of A Ring ,Intersection Graph ,Genus ,Chromatic Number
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آدرس
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Christ (Deemed To Be University), Department Of Mathematics, India, Christ (Deemed To Be University), Department Of Mathematics, India
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پست الکترونیکی
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frjoseph@christuniversity.in
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