The Levitzki radical in associative and Jordan rings

DOI10.1016/0021-8693(76)90089-2zbMath0325.16009OpenAlexW2089979216MaRDI QIDQ1225098

Michael Rich

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90089-2

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Noncommutative Jordan algebras (17A15) Radicals and radical properties of associative rings (16Nxx)

Related Items

Nilpotency in Jordan and right alternative algebras, Nonassociative rings, Radicals of right alternative and jordan rings, On alternative rings with involution, RELATION OF THE PRIME RADICAL and THE RADICAL OF A SUBRING GENERATED BY THE SYMMETRIC ELEMENTS, A condition of Brauer-Cartan-Hua type. II, Solvability and nilpotency in generalized alternative rings, Special Jordan nil algebras of bounded index

Cites Work

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• Rings with involution
• Jordan and associative rings with nilpotent and invertible elements
• On Herstein's theorems relating Jordan and associative algebras
• Varieties of algebras
• Lie and Jordan Systems in Simple Rings with Involution
• An Internal Characterization of the Prime Radical of a Jordan Algebra
• Linearization in Rings and Algebras
• The Levitzki Radical in Jordan Rings
• The Prime Radical in Special Jordan Rings
• On a problem of A. Kurosch
• On the Lie and Jordan Rings of a Simple Associative Ring