حلقة نقاشية

N-Idempotent Divisor Graph Of Commutative Rings

جامعة الموصل / كلية علوم الحاسوب والرياضيات

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2026-04-15 2026-04-15

يوم واحد

هندسية وتكنولوجيا

لم يحدد رقم الموبايل , [email protected]

كلية علوم الحاسوب والرياضيات

لم يحدد

Let R be commutative ring with identity 1≠0. In 1999, Anderson established the relationship between ring theory and graph theory by defining zero divisor graphs of commutative rings. Later in 2022 Anderson and Badawi defined n-zero divisor graph of commutative semigroup as a graph with vertices Z_n (S)^*={x^n |x∈Z(S)}∖{0}, and distinct vertices x and y are adjacent if and only if xy = 0, where S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. Thus each Γ_n (S) is an induced subgraph of Γ(S)=Γ_1 (S). Also, in 2022 Mohammad

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