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http://dx.doi.org/10.5666/KMJ.2020.60.4.723

The Zero-divisor Graph of ℤn[X]]  

Park, Min Ji (Department of Mathematics, College of Life Science and Nano Technology, Hannam University)
Kim, Eun Sup (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
Lim, Jung Wook (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.60, no.4, 2020 , pp. 723-729 More about this Journal
Abstract
Let ℤn be the ring of integers modulo n and let ℤn[X]] be either ℤn[X] or ℤn[[X]]. Let 𝚪(Zn[X]]) be the zero-divisor graph of ℤn[X]]. In this paper, we study some properties of 𝚪(ℤn[X]]). More precisely, we completely characterize the diameter and the girth of 𝚪(ℤn[X]]). We also calculate the chromatic number of 𝚪(ℤn[X]]).
Keywords
${\Gamma}({\mathbb{Z}}_n[X]])$; diameter; girth; clique; chromatic number;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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