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arXiv · 1511.00476

Non-free iterative differential modules

Andreas Maurischat
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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.

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Andreas Maurischat. 2015-11-02. Non-free iterative differential modules. https://doi.org/10.1145/3055282.3055283

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