Multivariate Dimension Polynomials of Inversive Difference Field Extensions

Multivariate Dimension Polynomials of Inversive Difference Field Extensions
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反差分域扩展的多元维多项式

DOI：
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发表时间：
2012
期刊：
Algebraic and Algorithmic Aspects of Differential and Integral Operators
影响因子：
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通讯作者：
A. Levin
A. Levin
中科院分区：
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文献类型：
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作者：
A. Levin

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本文介绍了反演差分多项式的多项排序的特征集方法。利用这一技巧，我们证明了多元维数多项式的逆生成的逆差分场扩张的存在性，并得到了一种计算方法。我们还发现新的不变量，这样的扩展，不进行单变量维数多项式。
In this paper we introduce a method of characteristic sets with respect to several term orderings for inversive difference polynomials. Using this technique, we prove the existence and obtain a method of computation of multivariate dimension polynomials of finitely generated inversive difference field extensions. We also find new invariants of such extensions that are not carried by univariate dimension polynomials.