| 广义特征集与多变量微分维数多项式 |
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| 引用本文： | 陈玉福. 广义特征集与多变量微分维数多项式[J]. 渤海大学学报(自然科学版), 2001, 22(2): 7-10 |
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| 作者姓名： | 陈玉福 |
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| 作者单位： | 锦州师范学院数学系, |
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| 基金项目： | 辽宁省教育厅科学资金资助 ( 980 8111780 ) |
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| 摘 要： | 引进一种新的微分多项式约化方法 ,进而推广了 Ritt- Kolchin的特征集方法。利用这些新的技术 ,给出了计算微分扩张的多元维数多项式的计算方法 ;利用维数多项式 ,获得了几个新的关于微分域有限扩张的双有理不变量 ,这些不变量将在代数几何与微分代数理论中发挥重要作用。
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| 关 键 词： | 特征集 维数多项式 微分扩张 |
| 文章编号： | 1007-533X(2001)02-0007-04 |
| 修稿时间： | 2000-10-08 |
Generalized characteristic sets and multivariate dimensional polynomials |
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| CHEN Yu fu. Generalized characteristic sets and multivariate dimensional polynomials[J]. Journal of Bohai University:Natural Science Editio, 2001, 22(2): 7-10 |
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| Authors: | CHEN Yu fu |
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| Abstract: | A new type of reduction in the ring of differential polynomials was introduced and the Ritt Kolchin method of characteristic set was generalized.As an application of the new technique,a method of computation of multivariable dipferentiae dimension palynomials of an extension associated with partions of a differential operator set was proposed. Finally,some new dofferential birational invariants of finitely generated differential field extensions have been derived .These birational invarants will take an important role in algebraic geometry and in differentiol algebraic theory. |
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| Keywords: | characteristic set dimension polynomiol differential extension |
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