| 摘要: |
| 研究模n高斯整数环的零因子图的中心集和半径,得到模n高斯整数环的零因子图半径为0、1、2时的充要条件,同时对每一个正整数n,给出模n高斯整数环的零因子图的中心集。 |
| 关键词: 零因子图 模n高斯整数环 中心 半径 |
| DOI： |
| 投稿时间：2011-10-17修订日期：2012-06-11 |
| 基金项目:Supported by National Natural Science Foundation(11161006),Guangxi Natural Science Foundation(2010GXNSFB013048,2011GXNSFA018139),and Scientific Research Foundation of Guangxi Educational Committee(201012MS140). |
|
| Central Sets and Radii of the Zero-divisor Graph of Gaussian Integers Modulo n |
|
SU Hua-dong
|
| (School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China) |
| Abstract: |
| The central sets and radii of the zero-divisor graph of Gaussian integers modulo n were studied, and the sufficient and necessary conditions were obtained as the radii of zero-divisor graph of Gaussian integers modulo n are 0, 1 and 2, respectively.Meanwhile, the central sets of the zero-divisor graph of Gaussian integers modulo n were found for each positive integer n. |
| Key words: zero-divisor graph Gaussian integers modulo n center radii |
