Ore Localisation for differential graded rings; Towards Goldie's theorem for differential graded algebras
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914671784624128 |
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| author | Zimmermann, Alexander |
| author_facet | Zimmermann, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ore Localisation for differential graded rings; Towards Goldie's theorem for differential graded algebras Zimmermann, Alexander Rings and Algebras K-Theory and Homology Representation Theory Primary: 16E45, Secondary: 16N40, 16N60, 16W50 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. |
| title | Ore Localisation for differential graded rings; Towards Goldie's theorem for differential graded algebras |
| topic | Rings and Algebras K-Theory and Homology Representation Theory Primary: 16E45, Secondary: 16N40, 16N60, 16W50 |
| url | https://arxiv.org/abs/2311.16619 |