Journal of Guangxi Normal University(Natural Science Edition) ›› 2015, Vol. 33 ›› Issue (2): 68-75.doi: 10.16088/j.issn.1001-6600.2015.02.011

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Properties of Zero-divisor Graphs of Group Rings ZnG

GUO Shu-feng1,2, XIE Guang-ming2, YI Zhong3   

  1. 1.School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
    2. College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541004,China;
    3. Guilin University of Aerospace Technology, Guilin Guangxi 541004,China
  • Received:2015-01-17 Online:2015-02-10 Published:2018-09-20

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Abstract: Let G be a cyclic group of prime order and ZnG group rings of G over Zn. Properties of zero-divisor graphs of ZnG are discussed in this paper and the girth, the diameter and the planarity of zero-divisor graphs of ZnG are given respectively.

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

CLC Number: 

  • O153.3
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