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SOME CLASSES OF PERFECT ANNIHILATOR-IDEAL GRAPHS ASSOCIATED WITH COMMUTATIVE RINGS
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نویسنده
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adlifard m. ,payrovi sh.
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منبع
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journal of algebra and related topics - 2021 - دوره : 9 - شماره : 1 - صفحه:21 -29
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چکیده
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Let r be a commutative ring and let a(r) be the set of all ideals of r with nonzero annihilator. the annihilatorideal graph of r is defined as the graph ai (r) with the vertex set a(r) ∗ = a(r) {0} and two distinct vertices i and j are adjacent if and only if annr(ij) 6= annr(i) ∪ annr(j). in this paper, perfectness of ai (r) for some classes of rings is investigated.
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کلیدواژه
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Annihilator-ideal graph ,Perfect graph ,Chromatic number ,Clique number.
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آدرس
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islamic azad university, roudbar branch, department of mathematics, Iran, imam khomeini international university, department of mathematics, Iran
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پست الکترونیکی
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shpayrovi@sci.ikiu.ac.ir
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Authors
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