Structure des algèbres de Jordan-Banach non commutatives réelles de division
Amin M. Kaidi (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Amin M. Kaidi (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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M. Akkar, M. Laayouni (1995)
Collectanea Mathematica
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A generalization of a result of Cohen-Hewitt is given in the case of Jordan-Banach algebras. Some precisions of factorization are obtained.
M. Akkar, M. Laayouni (1994)
Extracta Mathematicae
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José Antonio Cuenca Mira (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Jean-Louis Koszul (1948-1951)
Séminaire Bourbaki
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Angel Rodríguez Palacios, Amine Kaidi, Khalid Bouhya (1987)
Extracta Mathematicae
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Artibano Micali, Moussa Ouattara (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Hassane Essannouni, Amine Kaidi (1990)
Extracta Mathematicae
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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 ∈ 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.