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On the Representation of an Idempotent as a Sum of Nilpotent Elements

Published online by Cambridge University Press:  20 November 2018

M. Ferrero
Affiliation:
Instituto de Matematica, Universidade Federal do, Rio Grande do Sul, Porto Alegre, Brazil
E. R. Puczyłowski
Affiliation:
Institute of Mathematics, University of Warsaw, Warsaw, Poland
S. Sidki
Affiliation:
Departamento de Matematica, Universidade de Brasilia, Brasilia, Brazil
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Abstract

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In this paper we study in which rings a non-zero idempotent element can be presented as a sum of two nilpotent elements.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1996

References

1. Bergman, G. M., The diamond lemma for ring theory, Adv. in Math. 29(1978), 178218.Google Scholar
2. Bokut, L. A.', Embedding into simple associative algebras, Algebra i Logika 15(1976), 117142 (RuGoogle Scholar
3. Bokut', L. A., A survey of Russian papers on the Diamond Lemma, preprint.Google Scholar
4. Ferrero, M. and Puczylowski, E. R., On rings which are sums of two subrings, Arch. Math. 53(1989),Google Scholar
5. Kelarev, A. V., A sum of two locally nilpotent rings may be not nil, Arch. Math. 60(1993), 431435.Google Scholar
6. Passman, D. S., The algebraic structure of group rings, Wiley-Interscience, New-York, 1977 Google Scholar