Engineering and Technology Quarterly Reviews
Published: 03 September 2020
Eigenvalue of Adjacent Matrix of Zero Divisor Graphs on Rings
Bamyan University, Afghanistan
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Keywords: Eigenvalue, Adjacency Matrix, Zero Devisors Graph of Commutative Ring
Let R be a commutative ring with identity 1≠0 and T be the ring of all nxn upper triangular matrices over R. The zero-devisor graph of T denoted by T(Tn(R)). In this paper, I define the adjacent Matrix of T(R) and T(Tn(R)). Then I describe the relation between the non-zero Eigenvalues of adjacent Matrix of these graph and edges. After I use these result to determination of Eigenvalue adjacent matrix of T(T2(R)).
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