A Basis Theorem for Rings with Commuting Operators in Characteristic Zero
Commutative Algebra
2025-02-17 v2 Rings and Algebras
Abstract
Motivated by the differential basis theorem of Kolchin and the difference-differential basis theorem of Cohn, in this paper we present a basis theorem for polynomial rings equipped with commuting generalised Hasse-Schmidt operators (in the sense of Moosa and Scanlon). We recover Kolchin and Cohn's results as special cases of our main theorem.
Cite
@article{arxiv.2501.19379,
title = {A Basis Theorem for Rings with Commuting Operators in Characteristic Zero},
author = {Cas Burton},
journal= {arXiv preprint arXiv:2501.19379},
year = {2025}
}
Comments
21 pages