Work

On finitely generated left nilpotent braces

Year: 2025

Type: article

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.

Source: Transactions of the London Mathematical Society

DOI: 10.1112/tlm3.70014

Authors: Hangyang Meng, Adolfo Ballester‐Bolinches, Leonid A. Kurdachenko, Vicent Pérez‐Calabuig

Institutions: Shanghai University, Universitat de València, Oles Honchar Dnipro National University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funders: Natural Science Foundation of Shanghai, National Natural Science Foundation of China, Generalitat Valenciana