Semisimplicity and separability for pseudocompact algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917895286554624 |
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| author | Iusenko, Kostiantyn MacQuarrie, John |
| author_facet | Iusenko, Kostiantyn MacQuarrie, John |
| contents | In this expository article, we give a self-contained introduction to the wonderfully well-behaved class of pseudocompact algebras, focusing on the foundational classes of semisimple and separable algebras. We give characterizations of such algebras analogous to those for finite dimensional algebras. We give a self-contained proof of the Wedderburn-Malcev Theorem for pseudocompact algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06281 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Semisimplicity and separability for pseudocompact algebras Iusenko, Kostiantyn MacQuarrie, John Rings and Algebras 16W80, 16D60, 18A30 In this expository article, we give a self-contained introduction to the wonderfully well-behaved class of pseudocompact algebras, focusing on the foundational classes of semisimple and separable algebras. We give characterizations of such algebras analogous to those for finite dimensional algebras. We give a self-contained proof of the Wedderburn-Malcev Theorem for pseudocompact algebras. |
| title | Semisimplicity and separability for pseudocompact algebras |
| topic | Rings and Algebras 16W80, 16D60, 18A30 |
| url | https://arxiv.org/abs/2207.06281 |