Inner ideal structure of nearly Artinian Lie algebras

DOI10.1090/S0002-9939-08-09607-XzbMath1177.17007OpenAlexW2060458933MaRDI QIDQ3600576

Miguel Gómez Lozano, Esther García, Antonio Fernández López

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09607-x

zbMATH Keywords

complementationsocleinner idealsArtinian Lie algebras

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 (5)

Unnamed Item ⋮ The Kostrikin radical and similar radicals of Lie algebras ⋮ Развитие понятия «артиновость» для алгебр Ли ⋮ A filtration associated to an abelian inner ideal of a Lie algebra ⋮ Jordan-Lie inner ideals of finite dimensional associative algebras

Cites Work

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• On the socle of a Jordan pair
• The Jordan algebras of a Lie algebra
• Jordan pairs
• The Lie inner ideal structure of associative rings
• Idempotents in simple rings
• Complementation of inner ideals in Jordan pairs
• The Jordan socle and finitary Lie algebras
• The socle of a nondegenerate Lie algebra
• An Artinian theory for Lie algebras
• On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• A Construction of Gradings of Lie Algebras

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