Estructura reticular y cuasiideal en álgebras alternativas

  1. Laliena Clemente, Jesús Antonio
Dirigée par:
  1. Santos González Jiménez Directeur/trice

Université de défendre: Universidad de Zaragoza

Fecha de defensa: 12 décembre 1987

Jury:
  1. Vicente Ramón Varea Agudo President
  2. Consuelo Martínez López Secrétaire
  3. Alberto Pérez de Vargas Luque Rapporteur
  4. Ángel Rodríguez Palacios Rapporteur
  5. Juan Gabriel Tena Ayuso Rapporteur

Type: Thèses

Résumé

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.