Estructura reticular y cuasiideal en álgebras alternativas

  1. Laliena Clemente, Jesús Antonio
Supervised by:
  1. Santos González Jiménez Director

Defence university: Universidad de Zaragoza

Fecha de defensa: 12 December 1987

Committee:
  1. Vicente Ramón Varea Agudo Chair
  2. Consuelo Martínez López Secretary
  3. Alberto Pérez de Vargas Luque Committee member
  4. Ángel Rodríguez Palacios Committee member
  5. Juan Gabriel Tena Ayuso Committee member

Type: Thesis

Teseo: 19696 DIALNET lock_openDialnet editor

Abstract

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.