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when does the complement of the annihilating-ideal graph of a commutative ring admit a cut vertex?
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نویسنده
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visweswaran s. ,parmar anirudhdha
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منبع
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journal of algebraic structures and their applications - 2015 - دوره : 2 - شماره : 2 - صفحه:9 -22
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چکیده
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The rings considered in this article are commutative with identity which admit at least two nonzero annihilating ideals. let r be a ring. let a(r) denote the set of all annihilating ideals of r and let a(r)* = a(r) [(0)]. the annihilating-ideal graph of r,denoted by ag(r) is an undirected simple graph whose vertex set is a(r)* and distinct, vertices i, j are joined by an edge in this graph if and only if ij = (0). the aim of this article is to classify rings r such that (ag(r))^c ( that is, the complement of ag(r)) is connected and admits a cut vertex.
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کلیدواژه
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n-prime of (0) ,b-prime of (0) ,complement of the annihilating-ideal graph of a commutative ring ,vertex cut and cut vertex of a connected graph
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آدرس
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saurashtra university, department of mathematics, india, saurashtra university, department of mathematics, india
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پست الکترونیکی
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anirudh.maths@gmail.com
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Authors
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