| 广义幂级数环的零因子图 |
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| 引用本文： | 晁祥瑞.广义幂级数环的零因子图[J].西北师范大学学报,2007,43(4):20-22. |
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| 作者姓名： | 晁祥瑞 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 摘 要： | 研究了广义幂级数环R^s≤]]的零因子图的直径与围长等基本性质．当S为平凡序挠自由可消幺半群时，获得了R^s≤]]（即幺半群环RS]）的零因子图的若干性质．
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| 关 键 词： | 广义幂级数环 零因子图 直径 围长 挠自由可消幺半群 幺半群环 |
| 文章编号： | 1001-988X（2007）04-0020-03 |
| 修稿时间： | 2006-12-132007-06-02 |
The zero-divisor graph of rings of generalized power series |
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| CHAO Xiang-rui.The zero-divisor graph of rings of generalized power series[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(4):20-22. |
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| Authors: | CHAO Xiang-rui |
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| Institution: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The diameter and girth of the zero-divisor graph of rings of generalized power series are discussed. Some properties of the zero-divisor graph of monoid rings are also obtained. |
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| Keywords: | rings of generalized power series zero-divisor graph diameter girth torsion-free and eaneellative monoid monoid rings |
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