Estructura reticular y cuasiideal en álgebras alternativas
- Laliena Clemente, Jesús Antonio
- Santos González Jiménez Director/a
Universitat de defensa: Universidad de Zaragoza
Fecha de defensa: 12 de de desembre de 1987
- Vicente Ramón Varea Agudo President/a
- Consuelo Martínez López Secretari/ària
- Alberto Pérez de Vargas Luque Vocal
- Ángel Rodríguez Palacios Vocal
- Juan Gabriel Tena Ayuso Vocal
Tipus: Tesi
Resum
The lattice of subalgebras of an alternative algebra can determinate the algebraic structure of the algebra. In the first chapter, it is showed that, an alternative algebra with lattice of subalgebras isomorphic to a non division semisimple alternative algebra, is closely related with it. In the second chapter, it is studied the quasiideal structure in alternative algebras. By quasiideals, some kinds of semiprime alternative algebras and regular alternative algebras are characterised. Finally, alternative algebras in which every subalgebra is quasiideal are described.