Estructura reticular y cuasiideal en álgebras alternativas

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 sec...

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Auteur principal: Laliena Clemente, Jesús Antonio
Autres auteurs: González Jiménez, Santos (Universidad de Zaragoza)
Format: text (thesis)
Langue:spa
Publié: Universidad de Zaragoza (España) 1987
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Accès en ligne:https://dialnet.unirioja.es/servlet/oaites?codigo=1281
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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.