Abelian Non Jordan-Lie Inner Ideals of the Orthogonal Finite Dimensional Lie Algebras

DOI10.1080/09720529.2022.2083152OpenAlexW4284893074WikidataQ114847609 ScholiaQ114847609MaRDI QIDQ5043916

Hasan M. S. Shlaka, Falah S. Kareem

Publication date: 6 October 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2022.2083152

zbMATH Keywords

Lie algebraassociative algebrainner ideals

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Cites Work

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• Classification of the direct limits of involution simple associative algebras and the corresponding dimension groups.
• The Jordan algebras of a Lie algebra
• The Lie inner ideal structure of associative rings
• Jordan-Lie inner ideals of finite dimensional associative algebras
• An Artinian theory for Lie algebras
• The Lie Inner Ideal Structure of Associative Rings Revisited
• On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
• Infinite families of five-valued Walsh spectrum Boolean functions
• t-derivations on complicated subtraction algebras
• A new NTRU cryptosystem outperforms three highly secured NTRU-analog systems through an innovational algebraic structure

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