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GRAPHS INDUCED BY A TOPOLOGY AND THE KRULL DIMENSION OF A GRAPH
Keywords:
topology, graph, Krull dimension.DOI:
https://doi.org/10.17654/0974165823046Abstract
In this paper, we define a graph induced by a topology and give some of its properties. Also, we define and study the Krull dimension of graphs.
Received: April 7, 2023;
Revised: May 25, 2023;
Accepted: May 29, 2023;
References
B. Alharbi, Correspondence between graphs and Alexandroff spaces, Communications in Mathematics and Applications 14(1) (2023), 1-7.
B. Alharbi, Graphs and the prime spectrum of unitary commutative rings, European Journal of Pure and Applied Mathematics 16(1) (2023), 314-318.
N. Bourbaki, General Topology, Chapters 1 to 4, Masson, 1990.
W. J. Lewis and J. Ohm, The ordering of Spec R, Canad. J. Math. 28(3) (1973), 820-835.
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