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Spectrum of the zero-divisor graph on the ring of integers modulo n

机译:整数的环上的零除数图的频谱Modulo n

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For a commutative ring R with non-zero identity, let Z?(R) denote the set of non-zero zero-divisors of R. The zero-divisor graph of R, denoted by Γ(R), is a simple undirected graph with all non-zero zero-divisors as vertices and two distinct vertices x, y ∈ Z?(R) are adjacent if and only if xy = 0. In this paper, the adjacency matrix and spectrum of Γ(Zpk ) are investigated. Also, the implicit computation of the spectrum of Γ(Zn) is described.
机译:对于具有非零标识的换向环R,设Z?(R)表示R的非零零除数集。R的零除数曲线图由γ(r)表示,是一个简单的无向图。对于顶点和两个不同的顶点X,Y≠Z?(R)且仅在XY = 0中仅且仅当xy = 0时,研究了γ(ZPK)的邻接矩阵和频谱。此外,描述了γ(Zn)的隐式计算。

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