Journal of Guangxi Normal University(Natural Science Edition) ›› 2016, Vol. 34 ›› Issue (4): 109-115.doi: 10.16088/j.issn.1001-6600.2016.04.016

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Properties of Zero-divisor Graph of Group Ring Zn[i]G

TANG Gaohua,LI Yu, WU Yansheng   

  1. School of Mathematics and Statistics,Guangxi Teachers Education University,Nanning Guangxi 530001,China
  • Received:2016-03-10 Online:2016-07-18 Published:2018-07-23

Abstract: Let G be a cyclic group with prime order,Zn[i] be the Guassian integers modulo n and Zn[i]G be the group ring of G over Zn[i]. Properties of the zero-divisor graph of Zn[i]G are investigated in this paper and the girth,the planarity and the diameter of the zero-divisor graph of Zn[i]G are completely characterized respectively.

Key words: group ring, zero-divisor graph, girth, planarity, diameter

CLC Number: 

  • O153.3
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