Imbedding Lie Algebras in Strongly Prime Algebras

DOI10.1080/00927872.2012.660257zbMath1281.17021OpenAlexW2073277848MaRDI QIDQ2842316

Teresa Cortés, José Angel Anquela

Publication date: 13 August 2013

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

Full work available at URL: http://hdl.handle.net/10651/18697

zbMATH Keywords

Lie algebraheartsimplestrongly prime

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Imbedding Jordan systems in primitive systems, Prime quotients of Jordan systems and Lie algebras

Cites Work

• The Jordan algebras of a Lie algebra
• Jordan cubes and associative powers.
• A characterization of the Kostrikin radical of a Lie algebra
• Lie and Jordan structures in simple associative rings
• LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION
• On the Lie and Jordan Rings of a Simple Associative Ring
• Local and subquotient inheritance of simplicity in Jordan systems
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