Jordan superalgebra of type JPn, n ≥ 3 and the Wedderburn principal theorem

We investigate an analog to the Wedderburn Principal Theorem (WPT) for a finite-dimensional Jordan superalgebra J with solvable radical N such that N 2 =0 and J/N ≅JPn,n≥3. We consider N as an irreducible JPn-bimodule and we prove that the WPT holds for J.

Autores:
Gómez González, Faber Alberto
Ramírez Bermúdez, Jhon Alexander
Tipo de recurso:
Article of investigation
Fecha de publicación:
2020
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/46330
Acceso en línea:
https://hdl.handle.net/10495/46330
Palabra clave:
Álgebras de Jordan
Jordan algebras
Álgebras de Artin
Artin algebras
Teorema principal de Wedderburn
Teorema de descomposición
Wedderburn Principal Theorem
Decomposition theorem
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/