16 citations · 67 across the 8 of their papers we have counts for
4 papers · 1 filter
On bi-skew braces and brace blocks
L. Stefanello, S. Trappeniers
L. N. Childs defined a bi-skew brace to be a skew brace such that if we swap the role of the two operations, then we find again a skew brace. In this paper, we give a systematic an…
Skew braces from Rota--Baxter operators: a cohomological characterisation and some examples
A. Caranti, L. Stefanello
Rota-Baxter operators for groups were recently introduced by L. Guo, H. Lang, and Y. Sheng. V. G. Bardakov and V. Gubarev showed that with each Rota-Baxter operator one can associa…
Brace blocks from bilinear maps and liftings of endomorphisms
A. Caranti, L. Stefanello
We extend two constructions of Alan Koch, exhibiting methods to construct brace blocks, that is, families of group operations on a set such that any two of them induce a skew b…
From endomorphisms to bi-skew braces, regular subgroups, the Yang--Baxter equation, and Hopf--Galois structures
A. Caranti, L. Stefanello
The interplay between set-theoretic solutions of the Yang--Baxter equation of Mathematical Physics, skew braces, regular subgroups, and Hopf--Galois structures has spawned a consid…