| 零维多项式理想的准素分解 |
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| 引用本文： | 王家信,吴尽昭,吴学友. 零维多项式理想的准素分解[J]. 高师理科学刊, 1993, 0(4) |
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| 作者姓名： | 王家信 吴尽昭 吴学友 |
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| 作者单位： | 绥化师专(王家信)，中国科学院系统所(吴尽昭)，齐齐哈尔教育学院(吴学友) |
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| 摘 要： | 利用Ritt——Wu零点分解算法及多项式理想的Grobner基方法,给出一种零维多项式理想准素分解的算法,即找出该理想所有准素分支的一组基,此外,任意多项式理想的根理想的一组基也可容易地构造出来.
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| 关 键 词： | 零维多项式 理想 Ritt——Wu零点分解算法 准素理想 |
Primary Decomposition of Zero-dimensional Polynomial Ideals |
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| Wang Jiaxin Wu Jinzhao. Primary Decomposition of Zero-dimensional Polynomial Ideals[J]. Journal of Science of Teachers＇College and University, 1993, 0(4) |
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| Authors: | Wang Jiaxin Wu Jinzhao |
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| Affiliation: | Wang Jiaxin Wu Jinzhao(Suihua Teachers -training College) (Institute of Systems .Science Academia Sinica)Wu Xueyou(Qiqihar Education College) |
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| Abstract: | By using Ritt - Wu' s Zero- decomposition algorithm and Grobner bases of Polynomial ideals, We give an algorithm for finding out the primary decomposition of a zero - dimensional polynomial ideal, namely, constructing a basis of each primary component of this ideal. In addition, a basis of the radical of an arbitrary polynomial ideal can be constructed easily. |
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| Keywords: | Zero-dimensional polynomial Ideal Ritt -Wu' s Zero-decomposition algorithm Primary ideal |
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