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Heredity of the locally nilpotent radical of Jordan algebras with idempotent

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Abstract

We prove the heredity of the locally nilpotent radical of Jordan algebras with idempotent: the Peirce components for the radical decomposition are intersections of the corresponding algebra components with the radical.

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Authors and Affiliations

  1. Kuzbass State Technical University, Kemerovo, Russia

    V. I. Gribkov

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  1. V. I. Gribkov
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Correspondence to V. I. Gribkov.

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Original Russian Text Copyright © 2013 Gribkov V.I.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 4, pp. 775–787, July–August, 2013.

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Gribkov, V.I. Heredity of the locally nilpotent radical of Jordan algebras with idempotent. Sib Math J 54, 614–623 (2013). https://doi.org/10.1134/S0037446613040046

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  • DOI: https://doi.org/10.1134/S0037446613040046

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