The Differential Dimension Polynomial for Characterizable Differential Ideals

2014/01/23 by Markus Lange-Hegermann, Lange-Hegermann, Markus
Computer Science · Mathematics · #13N99 #Commutative Algebra (math.AC) #FOS: Computer and information sciences #FOS: Mathematics #Symbolic Computation (cs.SC) #cs.SC #math.AC #msc:13N99

paper · pdf · doi:10.48550/arxiv.1401.5959

arxiv created 2014/01/23 · arxiv updated 2014/01/25

Abstract

We generalize the differential dimension polynomial from prime differential ideals to characterizable differential ideals. Its computation is algorithmic, its degree and leading coefficient remain differential birational invariants, and it decides equality of characterizable differential ideals contained in each other.

Related

• Estimates for the coefficients of differential dimension polynomials
• Differential Krull dimension in differential polynomial extensions
• Computation of Differential Chow Forms for Prime Differential Ideals
• Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation
• Multivariate Difference-Differential Dimension Polynomials