Title of article
On the 2-absorbing ideals and zero divisor graph of equivalence classes of zero divisors
Author/Authors
Payrovi ، Sh. Department of Mathematics - Imam Khomeini International University , Babaei ، S. Department of Mathematics - Imam Khomeini International University
From page
1
To page
9
Abstract
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.
Keywords
2 , absorbing ideal , zero divisor graph
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774417
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