| 模n高斯整数环的零因子图的中心集和半径 |
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| 引用本文： | 苏华东.模n高斯整数环的零因子图的中心集和半径[J].广西科学,2012,19(3):221-223. |
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| 作者姓名： | 苏华东 |
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| 作者单位： | 广西师范学院数学科学学院,广西南宁530023 |
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| 基金项目： | Supported by National Natural Science Foundation（Ill61006） ,Guangxi Natural Science Foundation （ 2010GXNSFB013048, 2011GXNSFA018139）,and Scientific Researeh Foundation of Guangxi Educational Committee（201012MS140）. |
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| 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。
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| 关 键 词： | 零因子图 模n高斯整数环 中心 半径 |
| 收稿时间： | 2011/10/17 0:00:00 |
| 修稿时间： | 2012/6/11 0:00:00 |
Central Sets and Radii of the Zero-divisor Graph of Gaussian Integers Modulo n |
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| SU Hua-dong.Central Sets and Radii of the Zero-divisor Graph of Gaussian Integers Modulo n[J].Guangxi Sciences,2012,19(3):221-223. |
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| Authors: | SU Hua-dong |
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| Institution: | SU Hua-dong(School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China) |
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| 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. |
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| Keywords: | zero-divisor graph Gaussian integers modulo n center radii |
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