Jordan-Lie inner ideals of finite dimensional associative algebras

DOI10.1016/J.JPAA.2019.07.011zbMath1442.17022arXiv1609.05196OpenAlexW2963036019WikidataQ115345349 ScholiaQ115345349MaRDI QIDQ2301874

Hasan M. Shlaka, A. A. Baranov

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05196

zbMATH Keywords

idempotentsLevi decompositionJordan-Lie inner idealsLie structure of an associative algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associative rings and algebras with additional structure (16W99)

Related Items (2)

Abelian Non Jordan-Lie Inner Ideals of the Orthogonal Finite Dimensional Lie Algebras ⋮ Generalization of Jordan-Lie inner ideals of finite dimensional associative algebras

Cites Work

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• Wedderburn–Malcev decomposition of one-sided ideals of finite dimensional algebras
• Jordan Structures in Lie Algebras
• A Construction of Gradings of Lie Algebras
• Quasiclassical Lie algebras

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