On the 2-absorbing ideals and zero divisor graph of equivalence classes op zero divisors

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.

کلیدواژه های On the 2-absorbing ideals and zero divisor graph of equivalence classes op zero divisors:

2-absorbing ideal ، zero divisor graph