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arXiv · 2311.16619

Ore Localisation for differential graded rings; Towards Goldie's theorem for differential graded algebras

Alexander Zimmermann
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Abstract

We study Ore localisation of differential graded algebras. Further we define dg-prime rings, dg-semiprime rings, and study the dg-nil radical of dg-rings. Then, we define dg-essential submodules, dg-uniform dimension, and apply all this to a dg-version of Goldie's theorem on prime dg-rings.

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Alexander Zimmermann. 2023-11-28. Ore Localisation for differential graded rings; Towards Goldie's theorem for differential graded algebras. https://arxiv.org/abs/2311.16619

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