Extensions of locally matricial and locally semisimple algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908323809329152 |
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| author | Goodearl, K. R. |
| author_facet | Goodearl, K. R. |
| contents | Two extension problems are solved. First, the class of locally matricial algebras over an arbitrary field is closed under extensions. Second, the class of locally finite dimensional semisimple algebras over a fixed field is closed under extensions if and only if the base field is perfect. Regardless of the base field, extensions of the latter type are always locally unit-regular. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12649 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extensions of locally matricial and locally semisimple algebras Goodearl, K. R. Rings and Algebras Primary 16S70, secondary 16E50, 16S50 Two extension problems are solved. First, the class of locally matricial algebras over an arbitrary field is closed under extensions. Second, the class of locally finite dimensional semisimple algebras over a fixed field is closed under extensions if and only if the base field is perfect. Regardless of the base field, extensions of the latter type are always locally unit-regular. |
| title | Extensions of locally matricial and locally semisimple algebras |
| topic | Rings and Algebras Primary 16S70, secondary 16E50, 16S50 |
| url | https://arxiv.org/abs/2504.12649 |