English

Algorithmic problems for differential polynomial algebras

Rings and Algebras 2020-01-03 v2

Abstract

We prove that the ideal membership problem and the subalgebra membership problem are algorithmically undecidable for differential polynomial algebras with at least two basic derivation operators.

Cite

@article{arxiv.1509.07230,
  title  = {Algorithmic problems for differential polynomial algebras},
  author = {Ualbai Umirbaev},
  journal= {arXiv preprint arXiv:1509.07230},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-22T11:04:14.486Z