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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2312.13113 |
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| _version_ | 1866909290985422848 |
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| author | Towers, David A. |
| author_facet | Towers, David A. |
| contents | This paper starts by showing that for algebras in a certain class the concepts of weak nilpotency and nilpotency coincide. It goes on to describe some solvability and nilpotency properties of bicommutative algebras, of assosymmetric and of Novikov algebras and to introduce a Frattini theory for all of them. A description is also given for semisimple bicommutative algebras over any field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13113 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some results on Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras Towers, David A. Rings and Algebras Group Theory 0835, 17A01, 17A30, 17A60 This paper starts by showing that for algebras in a certain class the concepts of weak nilpotency and nilpotency coincide. It goes on to describe some solvability and nilpotency properties of bicommutative algebras, of assosymmetric and of Novikov algebras and to introduce a Frattini theory for all of them. A description is also given for semisimple bicommutative algebras over any field. |
| title | Some results on Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras |
| topic | Rings and Algebras Group Theory 0835, 17A01, 17A30, 17A60 |
| url | https://arxiv.org/abs/2312.13113 |