On finitely generated left nilpotent braces
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913984364412928 |
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| author | Meng, H. Ballester-Bolinches, A. Kurdachenko, L. A. Pérez-Calabuig, V. |
| author_facet | Meng, H. Ballester-Bolinches, A. Kurdachenko, L. A. Pérez-Calabuig, V. |
| contents | A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if $B$ is left nilpotent of class at most $2$, that is $B^3 = 0$, then $B$ is right nilpotent of class at most $3$, that is $B^{(4)} = 0$. In addition, we construct a free object in the category of finitely generated left nilpotent braces of class at most $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07883 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On finitely generated left nilpotent braces Meng, H. Ballester-Bolinches, A. Kurdachenko, L. A. Pérez-Calabuig, V. Group Theory Rings and Algebras 16T25, 16N40, 81R50 A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if $B$ is left nilpotent of class at most $2$, that is $B^3 = 0$, then $B$ is right nilpotent of class at most $3$, that is $B^{(4)} = 0$. In addition, we construct a free object in the category of finitely generated left nilpotent braces of class at most $2$. |
| title | On finitely generated left nilpotent braces |
| topic | Group Theory Rings and Algebras 16T25, 16N40, 81R50 |
| url | https://arxiv.org/abs/2508.07883 |