Non-free iterative differential modules
Commutative Algebra
2020-08-18 v1 Rings and Algebras
Abstract
In the article "Picard-Vessiot theory of differentially simple rings" we established a Picard-Vessiot theory over differentially simple rings which may not be fields. Differential modules over such rings were proven to be locally free but do not have to be free as modules. In this article, we give a family of examples of non-free differential modules, and compute Picard-Vessiot rings as well as Galois groups for them.
Keywords
Cite
@article{arxiv.1511.00476,
title = {Non-free iterative differential modules},
author = {Andreas Maurischat},
journal= {arXiv preprint arXiv:1511.00476},
year = {2020}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1304.7663