| 引用本文: | 戴清平.零维理想的正则列.[J].国防科技大学学报,2005,27(1):111-114.[点击复制] |
| DAI Qingping.The Regular Sequence of Zero Dimension Ideals[J].Journal of National University of Defense Technology,2005,27(1):111-114[点击复制] |
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| 零维理想的正则列 |
| 戴清平 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 求一个多元多项式环的理想的正则列是非常重要和困难的问题。在字典序下，一个零维理想的Grǒbner基中含有一个极大正则列，并且这个正则列是与顺序没有关系的。零维理想正则列的求出建立在Grǒbner基的可计算性和首项理想的根理想的准素分解算法上。 |
| 关键词: 单项式理想 Grǒbner基 零维理想 正则列 |
| DOI： |
| 投稿日期：2004-09-27 |
| 基金项目: |
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| The Regular Sequence of Zero Dimension Ideals |
| DAI Qingping |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| It is very important and diffcult to obtain the ideal regular sequence of polynomial ring. In the lexical order a zero dimension ideal Grǒbner has a maximal orderless regluar sequence. We can obtain the regular sequence owing to the calculability of Grǒbner bases and the method of the primary factor of the radical initial ideal. |
| Keywords: monomial ideals Grǒbner bases zero dimension ideals regular sequence |
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