Estructura reticular y cuasiideal en álgebras alternativas

  1. Laliena Clemente, Jesús Antonio
unter der Leitung von:
  1. Santos González Jiménez Doktorvater/Doktormutter

Universität der Verteidigung: Universidad de Zaragoza

Fecha de defensa: 12 von Dezember von 1987

Gericht:
  1. Vicente Ramón Varea Agudo Präsident/in
  2. Consuelo Martínez López Sekretär/in
  3. Alberto Pérez de Vargas Luque Vocal
  4. Ángel Rodríguez Palacios Vocal
  5. Juan Gabriel Tena Ayuso Vocal

Art: Dissertation

Teseo: 19696 DIALNET lock_openDialnet editor

Zusammenfassung

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.