Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions
Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions
复制标题
多元差分-微分维数多项式和差分-微分域扩展的新不变量
DOI：
10.1145/2465506.2465521
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发表时间：
2013
影响因子：
0.9
通讯作者：
A. Levin
中科院分区：
文献类型：
--
作者：
A. Levin
我们介绍了一种关于差微分多项式几项排序的特征集方法。利用这一技巧，我们得到了一个计算多元维多项式的双生成差分-微分域扩张的方法。此外，我们发现新的不变量，这样的扩展，并显示如何计算多元差分微分多项式的代数差分微分方程系统的等价问题。
We introduce a method of characteristic sets with respect to several term orderings for difference-differential polynomials. Using this technique, we obtain a method of computation of multivariate dimension polynomials of finitely generated difference-differential field extensions. Furthermore, we find new invariants of such extensions and show how the computation of multivariate difference-differential polynomials is applied to the equivalence problem for systems of algebraic difference-differential equations.