Estructura reticular y cuasiideal en álgebras alternativas

  1. Laliena Clemente, Jesús Antonio
Dirigida por:
  1. Santos González Jiménez Director/a

Universidad de defensa: Universidad de Zaragoza

Fecha de defensa: 12 de diciembre de 1987

Tribunal:
  1. Vicente Ramón Varea Agudo Presidente/a
  2. Consuelo Martínez López Secretario/a
  3. Alberto Pérez de Vargas Luque Vocal
  4. Ángel Rodríguez Palacios Vocal
  5. Juan Gabriel Tena Ayuso Vocal

Tipo: Tesis

Resumen

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.