Semisimple classes and lower radicals of topological nonassociative algebras

DOI10.1007/BF01097164zbMath0716.17003OpenAlexW2030652331MaRDI QIDQ752820

S. T. Glavatskii, Alexander V. Mikhalev, Kostia I. Beidar

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01097164

zbMATH Keywords

Jordan algebrasalternative algebrassemisimple classeshereditary radicalslower radicalvarieties of topological algebras

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Other topological algebraic systems and their representations (22A30) Identities and free Jordan structures (17C05) Alternative rings (17D05) Radical theory (nonassociative rings and algebras) (17A65)

Cites Work

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• On the Andrunakievich lemma for alternative rings
• Heredity of radicals of rings of type \((\gamma,\delta)\)
• On the radical theory of Andrunakievich varieties
• Semisimple classes of nonassociative rings and jordon algebras
• A characterisation of semisimple classes
• Semisimple classes of alternative rings
• Semi-simple classes in a variety satisfying an Andrunakievich Lemma
• Lower Radical Properties for Associative and Alternative Rings

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