Sur les algèbres nucleáires II


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



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


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.


[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).



How to Cite

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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