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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) v.26 n.2 Antofagasta ago. 2007

doi: 10.4067/S0716-09172007000200004 

Proyecciones Journal of Mathematics
Vol. 26, Nº 2, pp. 207-218, August 2007.
Universidad Católica del Norte
Antofagasta - Chile


SUR LES ALGÈBRES NUCLEÁIRES II


JOAO CARLOS DA MOTTA, ARTIBANO MICALI

UNIVERSIDADE FEDERAL DO ABC, BRASIL
UNIVERSITÉ MONTPELLIER II, FRANCE


Correspondencia a:



Abstract
This paper is the continuation of a precedent one (cf [2]). We decompose a subclass of semi-simples nuclear algebras as direct sum of simples ideals and we give a Wedderbum decomposition for these algebras.

Key Words : Power-associative algebras, idempotents, Peirce decomposition, Wedderbum decomposition.
1991 AMS Subject classification : 11.

REFERENCES
[1] Albert, A. A. - Structure of Algebras, Amer. Math. Soc, Colloquium Publications, Vol. 24, New York (1939).         [ Links ]
[2] da Motta Ferreira, J. C. et Micali, A. - Sur les algebres nucléaires, Indagationes Mathematicae 7 (3), pp. 331-342 (1996).         [ Links ]
[3] Rich, M. - Rings with idempotents in their nuclei, Trans. Amer. Math. Soc. 208, pp. 81-90 (1975).         [ Links ]
[4] Schafer, R. D. - An introduction to nonassociative algebras, Academic Press, New York and London (1966).         [ Links ]
[5] Schafer, R. D. - The Wedderburn principal theorem for alternative algebras, Bull. Amer. Math. Soc. 55, pp. 604-614 (1949).         [ Links ]
[6] Zhevlakov, K. A.; Slin'ko, A. M.; Shestakov, I. P. and Shirshov, A. I. - Rings that are nearly associative, Inst. Math. Acad. Sci. of the U.S.S.R., Siberian Branch Novosibirsk, U. S. S. R., Academic Press, New York and London (1982).
        [ Links ]

JOAO CARLOS DA MOTTA FERREIRA
Universidade Federal do ABC
Centro de Matemática, Computac.áo e Cognigáo
09210-170 Santo André
SP - Brasil
e-mail : joao.cmferreira@ufabc.edu.br

ARTIBANO MICALI
Université Montpeflier II
Département des Sciences Mathématiques
Place Eugene Bataillon
34095 Montpellier, France
e-mail : micali@univ.montp2.fr

Received : June 2006. Accepted : June 2007