Sur les algèbres nucleáires II

Authors

  • Joao Carlos da Motta Ferreira Universidade Federal do ABC.
  • Artibano Micali Universite Montpellier II.

DOI:

https://doi.org/10.4067/S0716-09172007000200004

Keywords:

Power-associative algebras, Idempotents, Peirce decomposition, Wedderburn decomposition.

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 Wedderburn decomposition for these algebras.

Author Biographies

Joao Carlos da Motta Ferreira, Universidade Federal do ABC.

Centro de Matemática, Computacao e Cognicao.

Artibano Micali, Universite Montpellier II.

Département des Sciences Mathématiques.

References

[1] Albert, A. A. - Structure of Algebras, Amer. Math. Soc., Colloquium Publications, Vol. 24, New York (1939).

[2] da Motta Ferreira, J. C. et Micali, A. - Sur les algèbres nucléaires, Indagationes Mathematicae 7 (3), pp. 331-342 (1996).

[3] Rich, M. - Rings with idempotents in their nuclei, Trans. Amer. Math. Soc. 208, pp. 81-90 (1975).

[4] Schafer, R. D. - An introduction to nonassociative algebras, Academic Press, New York and London (1966).

[5] Schafer, R. D. - The Wedderburn principal theorem for alternative algebras, Bull. Amer. Math. Soc. 55, pp. 604-614 (1949).

[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).

Published

2017-04-18

How to Cite

[1]
J. C. da Motta Ferreira and A. Micali, “Sur les algèbres nucleáires II”, Proyecciones (Antofagasta, On line), vol. 26, no. 2, pp. 207-218, Apr. 2017.

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