A characterization of the Kostrikin radical of a Lie algebra

DOI10.1016/j.jalgebra.2011.08.013zbMath1255.17004OpenAlexW2025057611WikidataQ115351172 ScholiaQ115351172MaRDI QIDQ2428082

Esther García, Miguel Gómez Lozano

Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.08.013

zbMATH Keywords

Lie algebrasm-sequencestrongly prime idealKostrikin radicalabsolute zero divisor

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Jordan algebras at Jordan elements of semiprime rings with involution, Constructions of special radicals of algebras, A criterion for the strong primeness of Lie algebras, The Kostrikin radical and similar radicals of Lie algebras, Simple, locally finite dimensional Lie algebras in positive characteristic, A filtration associated to an abelian inner ideal of a Lie algebra, Lie algebras with an algebraic adjoint representation revisited, A Jordan algebra of a Mal'tsev algebra, On the speciality of Jordan algebras and subquotients of Lie algebras, A radical for graded Lie algebras, Algebraic Lie algebras of bounded degree, An elemental characterization of orthogonal ideals in Lie algebras, Prime quotients of Jordan systems and Lie algebras, A description of ad-nilpotent elements in semiprime rings with involution, Imbedding Lie Algebras in Strongly Prime Algebras

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