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on the 2-absorbing ideals and zero divisor graph of equivalence classes of zero divisors
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نویسنده
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payrovi sh. ,babaei s.
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منبع
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journal of hyperstructures - 2014 - دوره : 3 - شماره : 1 - صفحه:1 -9
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چکیده
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Let r be a commutative ring, i be a 2-absorbing ideal of r and let i = q1 ∩ · · · ∩ qn (n ≥ 2) with √qi = pi for i = 1, · · · , n, be a minimal primary decomposition of i. let γe(r/i) denote the graph of equivalence classes of zero divisors of r/i. it is shown that q1 ∩ · · · ∩ qn−1, q1 ∩ · · · ∩ qn−2, · · · , q1, p1, p2 · · · , pn are all vertices of γe(r/i) and also the degrees of all vertices are determined.
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کلیدواژه
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2-absorbing ideal ,zero divisor graph
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آدرس
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imam khomeini international university, department of mathematics, iran, imam khomeini international university, department of mathematics, iran
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پست الکترونیکی
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sbabaei@edu.ikiu.ac.ir
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Authors
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