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On the 2-absorbing ideals and zero divisor graph of equivalence classes op zero divisors | ||
Journal of Hyperstructures | ||
دوره 3، شماره 1، شهریور 2014، صفحه 1-9 اصل مقاله (284.06 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2014.2558 | ||
نویسندگان | ||
Sh. Payrovi* ؛ S. Babaei | ||
Department of Mathematics, Imam Khomeini International University , P.O.Box 34149-1-6818, Qazvin, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
2-absorbing ideal؛ zero divisor graph | ||
مراجع | ||
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