This entry is about an algebraic structure of *brace* stemming from the study of set-theoretic Yang-Baxter equation. See entry brace algebra for another algebraic structure, with $n$-ary operations, “braces”.

A **left brace** is left truss which is an Abelian group under its multiplicative operation.

- W. Rump,
*Braces, radical rings, and the quantum Yang-Baxter equation*, J. Algebra**307**(2007), no. 1, 153-170 - Wolfgang Rump,
*Generalized radical rings, unknotted biquandles, and quantum groups*, Colloquium Mathematicum**109**(2007), 85-100 doi - W. Rump,
*The brace of a classical group*, Note di Matematica**34**(2014) n.1, 115-144 pdf - W. Rump,
*Construction of finite braces*, Ann. Comb. 23, 391–416 (2019) doi - F. Cedó, E. Jespers, J. Okniński,
*Braces and the Yang–Baxter equation*, Commun. Math. Phys.**327**, 101–116 (2014). doi

- truss
- quantum Yang-Baxter equation
- Jacobson radical ring?

category: algebra

Last revised on May 26, 2023 at 07:54:57. See the history of this page for a list of all contributions to it.