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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.14665 |
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| _version_ | 1866914924900384768 |
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| author | Subroto, Robert Christian |
| author_facet | Subroto, Robert Christian |
| contents | We provide the Krull-Remak-Schmidt decomposition of group algebras of the form $k[G]$ where $k$ is a field, which includes fields with prime characteristic, and $G$ a finite abelian group. We achieved this by studying the geometric equivalence of $k[G]$ which we call circulant coordinate rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Krull-Remak-Schmidt decomposition of commutative group algebras Subroto, Robert Christian Commutative Algebra Rings and Algebras Representation Theory 20C05, 20C20, 13M05, 13M10 We provide the Krull-Remak-Schmidt decomposition of group algebras of the form $k[G]$ where $k$ is a field, which includes fields with prime characteristic, and $G$ a finite abelian group. We achieved this by studying the geometric equivalence of $k[G]$ which we call circulant coordinate rings. |
| title | The Krull-Remak-Schmidt decomposition of commutative group algebras |
| topic | Commutative Algebra Rings and Algebras Representation Theory 20C05, 20C20, 13M05, 13M10 |
| url | https://arxiv.org/abs/2408.14665 |