| 有限域上理想的准素分解 |
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| 引用本文： | 李冬梅.有限域上理想的准素分解[J].数学理论与应用,2009,29(1):6-9. |
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| 作者姓名： | 李冬梅 |
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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： | supported by Graduate Innovation Fund of Hunan University of Science and Technology andthe National Natural Science Foundation of China (10771058);;Hunan Provincial Natural Science Foundation of China(06jj2053);;Scientific Research Fund ofHunan Province Education Department(06A017) |
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| 摘 要： | 主要研究有限域上零维理想的准素分解问题，时文1]的所提到的方法和理想商环不变子空阃的基元素的可分性进行讨论，并给出了判定的充分必要条件。
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| 关 键 词： | 准素分解 零维理想 Crobner基 可分性 |
Primary Decomposition of Ideals over Finite Fields |
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| Li Dongmei.Primary Decomposition of Ideals over Finite Fields[J].Mathematical Theory and Applications,2009,29(1):6-9. |
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| Authors: | Li Dongmei |
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| Institution: | School of Math.and Computation;Hunan University of Science and Technology;Xiangtan;411201 |
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| Abstract: | This paper mainly studies the problem of primary decomposition of zero-dimensional ideals over finite fields.For the method which is given in 1],we do some work in an element of the invariant subspace of the quotient algebra,and give a necessary and sufficient condition to judge whether the element is separable or not. |
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| Keywords: | Primary decomposition Zero- dimensional ideals Cobner basis Separable |
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