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This article is cited in 1 scientific paper (total in 1 paper)
Radicals of Jordan rings connected with alternative rings
A. M. Slin'ko Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Abstract:
Subject to a certain restriction on the additive group of an alternative ring $A$, we prove that $R(A)=R(A^{(+)})$, where $A^{(+)}$ is a Jordan ring and $R$ is one of the following radicals: the Jacobson radical, the upper nil-radical, the locally nilpotent radical, or the lower nil-radical. For the proof of these relationships Herstein's well-known construction for associative rings is generalized to alternative rings.
Received: 05.03.1973
Citation:
A. M. Slin'ko, “Radicals of Jordan rings connected with alternative rings”, Mat. Zametki, 16:1 (1974), 135–140; Math. Notes, 16:1 (1974), 664–667
Linking options:
https://www.mathnet.ru/eng/mzm7444 https://www.mathnet.ru/eng/mzm/v16/i1/p135
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Abstract page: | 202 | Full-text PDF : | 84 | First page: | 1 |
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