Lie Quotients for Skew Lie Algebras

DOI10.1142/S1005386709000261zbMath1196.17019OpenAlexW2065931457WikidataQ115245058 ScholiaQ115245058MaRDI QIDQ3633824

Juana Sánchez-Ortega, Miguel Cabrera García

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1142/s1005386709000261

zbMATH Keywords

Lie algebraprime algebrasemiprime algebraalgebra of quotientsskew Lie algebra

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Finite gradings of Lie algebras ⋮ \(\varepsilon \)-complemented algebras ⋮ Strongly non-degenerate Lie algebras ⋮ Algebras of quotients of graded Lie algebras ⋮ Martindale Algebras of Quotients of Graded Algebras

Cites Work

• Unnamed Item
• Associative and Lie algebras of quotients
• Herstein's Lie theory revisited
• Algebras of quotients of Lie algebras.
• Jordan systems of Martindale-like quotients
• Structure theory for multiplicatively semiprime algebras
• Maximal algebras of Martindale-like quotients of strongly prime linear Jordan algebras
• Multiplicative Semiprimeness of Skew Lie Algebras
• Center, Centroid, Extended Centroid, and Quotients of Jordan Systems
• IDEALS WHICH MEMORIZE THE EXTENDED CENTROID
• The extended centroid in semiprime rings with involution
• The ring of fractions of a Jordan algebra