Multivariate Difference-Differential Dimension Polynomials and New Invariants of Difference-Differential Field Extensions
Commutative Algebra
2013-02-07 v1
Abstract
In this paper 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.
Cite
@article{arxiv.1302.1505,
title = {Multivariate Difference-Differential Dimension Polynomials and New Invariants of Difference-Differential Field Extensions},
author = {Alexander Levin},
journal= {arXiv preprint arXiv:1302.1505},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1207.4757