String algebras over local rings: regular examples
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914784142688256 |
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| author | Bennett-Tennenhaus, Raphael |
| author_facet | Bennett-Tennenhaus, Raphael |
| contents | String algebras, in the usual sense, are finite-dimensional algebras over a given ground field. We recall a generalisation of the definition of a string algebra, which was introduced in a previous paper of the author. This generalisation replaces the ground field with a noetherian local ring. We provide a way to generate examples of string algebras over any regular local ring, which depends on the Krull dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02702 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | String algebras over local rings: regular examples Bennett-Tennenhaus, Raphael Representation Theory 16G20, 16G30, 16H10 (Primary), 13H05 (Secondary) String algebras, in the usual sense, are finite-dimensional algebras over a given ground field. We recall a generalisation of the definition of a string algebra, which was introduced in a previous paper of the author. This generalisation replaces the ground field with a noetherian local ring. We provide a way to generate examples of string algebras over any regular local ring, which depends on the Krull dimension. |
| title | String algebras over local rings: regular examples |
| topic | Representation Theory 16G20, 16G30, 16H10 (Primary), 13H05 (Secondary) |
| url | https://arxiv.org/abs/2405.02702 |