A condition of Brauer-Cartan-Hua type. II

DOI10.1016/0021-8693(78)90232-6zbMath0412.16006OpenAlexW4212864561MaRDI QIDQ1260150

L. A. Casciotti, W. E. Baxter

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90232-6

zbMATH Keywords

Jacobson radicalsymmetric elementsLevitzki radicalquadratic idealsJordan subringGoldie ringJacobson semisimpleBrauer-Cartan-Huacentral symmetric idempotentLevitzki semisimplelocally nilpotent Jordan idealsquasi-regular Jordan idealsself-adjoint idealself-adjoint Lie subring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Cites Work

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• The Levitzki radical in associative and Jordan rings
• A condition of Brauer-Cartan-Hua type
• On prime Jordan rings H(R) with chain condition
• Topological rings with property (Y)
• On Herstein's theorems relating Jordan and associative algebras
• Chain Conditions on Symmetric Elements
• Rings with Involution and Polynomial Identities
• The Levitzki Radical in Jordan Rings
• Quadratic Jordan Algebras and Cubing Operations
• The Prime Radical in Special Jordan Rings