Heredity of the locally nilpotent radical of Jordan algebras with idempotent

V. I. Gribkov

Kuzbass State Technical University, Kemerovo, Russia

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.

Keywords: Jordan algebra, locally nilpotent radical, heredity, idempotent.

UDC: 512.554.7

Received: 24.08.2012

 English version: Siberian Mathematical Journal, 2013, 54:4, 614–623

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