Estructura reticular y cuasiideal en álgebras alternativas

  1. Laliena Clemente, Jesús Antonio
Zuzendaria:
  1. Santos González Jiménez Zuzendaria

Defentsa unibertsitatea: Universidad de Zaragoza

Fecha de defensa: 1987(e)ko abendua-(a)k 12

Epaimahaia:
  1. Vicente Ramón Varea Agudo Presidentea
  2. Consuelo Martínez López Idazkaria
  3. Alberto Pérez de Vargas Luque Kidea
  4. Ángel Rodríguez Palacios Kidea
  5. Juan Gabriel Tena Ayuso Kidea

Mota: Tesia

Laburpena

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.