English

The Differential Dimension Polynomial for Characterizable Differential Ideals

Commutative Algebra 2014-01-25 v1 Symbolic Computation

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.

Keywords

Cite

@article{arxiv.1401.5959,
  title  = {The Differential Dimension Polynomial for Characterizable Differential Ideals},
  author = {Markus Lange-Hegermann},
  journal= {arXiv preprint arXiv:1401.5959},
  year   = {2014}
}
R2 v1 2026-06-22T02:53:05.041Z