Hilbert's basis theorem for non-associative and hom-associative Ore extensions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2018
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| _version_ | 1866909689451642880 |
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| author | Bäck, Per Richter, Johan |
| author_facet | Bäck, Per Richter, Johan |
| contents | We prove a hom-associative version of Hilbert's basis theorem, which includes as special cases both a non-associative version and the classical associative Hilbert's basis theorem for Ore extensions. Along the way, we develop hom-module theory. We conclude with some examples of both non-associative and hom-associative Ore extensions which are all noetherian by our theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_11304 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Hilbert's basis theorem for non-associative and hom-associative Ore extensions Bäck, Per Richter, Johan Rings and Algebras 17D30 We prove a hom-associative version of Hilbert's basis theorem, which includes as special cases both a non-associative version and the classical associative Hilbert's basis theorem for Ore extensions. Along the way, we develop hom-module theory. We conclude with some examples of both non-associative and hom-associative Ore extensions which are all noetherian by our theorem. |
| title | Hilbert's basis theorem for non-associative and hom-associative Ore extensions |
| topic | Rings and Algebras 17D30 |
| url | https://arxiv.org/abs/1804.11304 |