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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.09503 |
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| _version_ | 1866912061291757568 |
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| author | Kunanbayev, A. Sartayev, B. K. |
| author_facet | Kunanbayev, A. Sartayev, B. K. |
| contents | In this paper, we describe the defining identities of a variety of binary perm algebras, which is a subvariety of the variety of alternative algebras. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under commutator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_09503 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Binary perm algebras and alternative algebras Kunanbayev, A. Sartayev, B. K. Rings and Algebras In this paper, we describe the defining identities of a variety of binary perm algebras, which is a subvariety of the variety of alternative algebras. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under commutator. |
| title | Binary perm algebras and alternative algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2309.09503 |