| 交换环上多项式结式的性质 |
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| 引用本文： | 关剑成,刘金旺. 交换环上多项式结式的性质[J]. 数学理论与应用, 2014, 0(2): 13-17 |
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| 作者姓名： | 关剑成 刘金旺 |
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| 作者单位： | 湖南科技大学数学与计算科学学院,湘潭411201 |
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| 基金项目： | 湖南省研究生科研创新项目资助 |
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| 摘 要： | 本文主要讨论交换环上多项式结式的一些性质.首先,我们证明了交换环上一种乘积的结式等于结式的乘积的性质,然后,我们证明了交换环上一种和的结式具有的性质,并且给出了交换环上结式为零的一个充分条件.
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| 关 键 词： | 交换环 交换环上的多项式 结式 |
Properties of Resultants of Polynomials over Commutative Rings |
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| Guan Jiancheng,Liu Jinwang. Properties of Resultants of Polynomials over Commutative Rings[J]. Mathematical Theory and Applications, 2014, 0(2): 13-17 |
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| Authors: | Guan Jiancheng Liu Jinwang |
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| Affiliation: | ( School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China) |
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| Abstract: | In this paper, some properties of resultants of polynomials over commutative tings are discussed. First, we show that the resultant of product is equal to the product of the resultants. Then we prove another important property of resultants and give a sufficient condition in which the resultant is equal to 0. |
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| Keywords: | Commutative ring Polynomial over commutative ring Resultant |
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