A classification of $\mathbb{F}_{p^k}$-braces using bilinear forms

Autor: Aragona, Riccardo, Nozzi, Giuseppe
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: Let $\mathbb{F}_{p^k}$ be a finite field of odd characteristic $p$. In this paper we give a classification, up to isomorphism, of the associative commutative $\mathbb{F}_{p^k}$-algebras, starting from the connection with their bi-brace structure. Such classification is the generalization in odd characteristic of the result proved by Civino at al. in characteristic $2$.
Databáze: arXiv