From the 1 of 11 linked papers with an AI index.
11 papers
Chain conditions on skew braces and solutions of the Yang-Baxter Equation
Massimiliano Di Matteo, Ramón Esteban-Romero, Maria Ferrara +1
The paper investigates how maximal and minimal chain conditions on ideals of skew braces relate to solubility and nilpotency, extending Hall‑McLain results, and introduces finitene…
On finite trifactorised groups and Sylow and Hall theorems for skew braces
A. Ballester-Bolinches, P. Pérez-Altarriba, V. Pérez-Calabuig
The aim of this short note is to show that the Sylow theorem (respectively Hall theorem) for finite skew braces proved by Truman in arXiv:2606.18414 is a direct consequence of the…
Addendum/Corrigendum to "On solubility of skew left braces and solutions of the Yang-Baxter equation"
A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral +1
In our previous work: Adv. Math. 455 (2024), no. 109880, solubility of solutions was introduced as an extension of solubility of skew braces in the classification context of non-de…
On left braces in which every subbrace is an ideal II
A. Ballester-Bolinches, R. Esteban-Romero, L. A. Kurdachenko +1
The aim of this paper is to take the study of Dedekind braces, that is, left braces for which every subbrace is an ideal, started in a previous paper, further. Dedekind braces …
On finitely generated left nilpotent braces
H. Meng, A. Ballester-Bolinches, L. A. Kurdachenko +1
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…
On left nilpotent skew braces of class 2
A. Ballester-Bolinches, L. A. Kurdachenko, V. Pérez-Calabuig
The main objective of this article is to initiate a detailed structure theory of left nilpotent skew braces of class , i.e. skew braces with . We prove that if …