On annihilators in Jordan algebras.

Antonio Fernández López

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 569-589
  • ISSN: 0214-1493

Abstract

top
In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.

How to cite

top

Fernández López, Antonio. "On annihilators in Jordan algebras.." Publicacions Matemàtiques 36.2A (1992): 569-589. <http://eudml.org/doc/41735>.

@article{FernándezLópez1992,
abstract = {In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.},
author = {Fernández López, Antonio},
journal = {Publicacions Matemàtiques},
keywords = {annihilators; special Jordan algebras; associative envelopes; socle; ascending chain condition; principal inner ideals; Jordan algebras without nilpotent elements; -algebras},
language = {eng},
number = {2A},
pages = {569-589},
title = {On annihilators in Jordan algebras.},
url = {http://eudml.org/doc/41735},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Fernández López, Antonio
TI - On annihilators in Jordan algebras.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 569
EP - 589
AB - In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
LA - eng
KW - annihilators; special Jordan algebras; associative envelopes; socle; ascending chain condition; principal inner ideals; Jordan algebras without nilpotent elements; -algebras
UR - http://eudml.org/doc/41735
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.