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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 775–787
(Mi smj2457)
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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.
Received: 24.08.2012
Citation:
V. I. Gribkov, “Heredity of the locally nilpotent radical of Jordan algebras with idempotent”, Sibirsk. Mat. Zh., 54:4 (2013), 775–787; Siberian Math. J., 54:4 (2013), 614–623
Linking options:
https://www.mathnet.ru/eng/smj2457 https://www.mathnet.ru/eng/smj/v54/i4/p775
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Abstract page: | 176 | Full-text PDF : | 76 | References: | 39 |
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