On finitely generated left nilpotent braces
Abstract 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 is left nilpotent of class at most 2, that is , then is right nilpotent of class at most 3, that is . In addition, we construct a free object in the category of finitely generated left nilpotent braces of class at most 2.
Authors
- V. Pérez-Calabuig (ORCID: https://orcid.org/0000-0003-4101-8656)
- Hangyang Meng (ORCID: https://orcid.org/0000-0001-9840-5783)
- Leonid A. Kurdachenko (ORCID: https://orcid.org/0000-0002-6368-7319)
- A. Ballester‐Bolinches (ORCID: https://orcid.org/0000-0002-2051-9075)
Institutions
- University of Shanghai for Science and Technology (CN)
- Universitat de València (ES)
- New York University Shanghai (CN)
- Oles Honchar Dnipro National University (UA)
Publication Details
- Journal
- Transactions of the London Mathematical Society
- Published
- 2025-08-26
- DOI
- https://doi.org/10.1112/tlm3.70014
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Science Foundation of Shanghai
- National Natural Science Foundation of China
- Generalitat Valenciana