On a conjecture by Jacobson.

Hassane Essannouni; Amine Kaidi

Extracta Mathematicae (1990)

  • Volume: 5, Issue: 3, page 141-143
  • ISSN: 0213-8743

Abstract

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Let J be a Jordan algebra with 1. A subalgebra B of J is said to be full if 1 ∈ B and for any b in B with b invertible in J, b-1 ∈ B. We prove that if J is nondegenerate then any full subalgebra of J generated by two elements is special. It follows that any rational identity in two indeterminated satisfied in all special Jordan algebras is also satisfied in all nondegenerate Jordan algebras.

How to cite

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Essannouni, Hassane, and Kaidi, Amine. "Sur une conjecture de Jacobson.." Extracta Mathematicae 5.3 (1990): 141-143. <http://eudml.org/doc/39894>.

@article{Essannouni1990,
author = {Essannouni, Hassane, Kaidi, Amine},
journal = {Extracta Mathematicae},
keywords = {Algebras no asociativas; Algebras de Jordan; Algebra de Banach},
language = {fre},
number = {3},
pages = {141-143},
title = {Sur une conjecture de Jacobson.},
url = {http://eudml.org/doc/39894},
volume = {5},
year = {1990},
}

TY - JOUR
AU - Essannouni, Hassane
AU - Kaidi, Amine
TI - Sur une conjecture de Jacobson.
JO - Extracta Mathematicae
PY - 1990
VL - 5
IS - 3
SP - 141
EP - 143
LA - fre
KW - Algebras no asociativas; Algebras de Jordan; Algebra de Banach
UR - http://eudml.org/doc/39894
ER -

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