Inner ideals of Lie algebras of skew elements of prime rings with involution

DOI10.1090/proc/12903zbMath1396.16035OpenAlexW2321967931MaRDI QIDQ2802098

Miguel Gómez Lozano, Jose Brox, Antonio Fernández López

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1090/proc/12903

zbMATH Keywords

Lie algebrasinner idealsassociative algebras with involution

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (3)

A filtration associated to an abelian inner ideal of a Lie algebra ⋮ Maximal zero product subrings and inner ideals of simple rings ⋮ Ad-nilpotent elements of skew index in semiprime rings with involution

Cites Work

• Simple Lie algebras having extremal elements
• Jordan pairs
• The Lie inner ideal structure of associative rings
• Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions.
• Finitary simple Lie algebras
• Simple Lie algebras of small characteristic. I: Sandwich elements
• Simple associative algebras with finite \(\mathbb{Z}\)-grading
• On the iterates of derivations of prime rings
• On the geometry of inner ideals
• The Lie Inner Ideal Structure of Associative Rings Revisited
• On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
• A Construction of Gradings of Lie Algebras
• Inner Ideals in Quadratic Jordan Algebras
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