Novikov algebras and their primitive ideals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929409733165056 |
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| author | Dwarkesh, Aditya Goswami, Amartya |
| author_facet | Dwarkesh, Aditya Goswami, Amartya |
| contents | The aim of this paper is to study the primitive ideals of Novikov algebras. In terms of modular maximal right ideals, a characterization of the primitive ideals of a Novikov algebra has been obtained. We prove a Chevalley-Jacobson density-type theorem for primitive Novikov algebras. We obtain some equivalences between prime, simple, and primitive Novikov algebras. We describe a subalgebra of a Novikov algebra as a Novikov algebra of endomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10994 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Novikov algebras and their primitive ideals Dwarkesh, Aditya Goswami, Amartya Rings and Algebras The aim of this paper is to study the primitive ideals of Novikov algebras. In terms of modular maximal right ideals, a characterization of the primitive ideals of a Novikov algebra has been obtained. We prove a Chevalley-Jacobson density-type theorem for primitive Novikov algebras. We obtain some equivalences between prime, simple, and primitive Novikov algebras. We describe a subalgebra of a Novikov algebra as a Novikov algebra of endomorphisms. |
| title | Novikov algebras and their primitive ideals |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2303.10994 |