Enveloping algebras of Lie color algebras: Primeness versus graded-primeness

DOI10.1090/S0002-9939-98-04372-XzbMath0897.16011OpenAlexW1921569387MaRDI QIDQ4387030

Jeffrey Bergen, Donald S.Passman

Publication date: 6 May 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04372-x

zbMATH Keywords

restricted enveloping algebrasgraded prime ringsrestricted Lie superalgebrasgraded prime ideals\(\Delta\)-methodsrestricted Lie color algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Universal enveloping (super)algebras (17B35) Superalgebras (17A70) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25) Universal enveloping algebras of Lie algebras (16S30) ``Super (or ``skew) structure (16W55)

Related Items (2)

On left symmetric color algebras ⋮ Primeness criteria for universal enveloping algebras of Lie color algebras

Cites Work

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• A criterion for primeness of enveloping algebras of Lie superalgebras
• Enveloping algebras of Lie superalgebras
• Delta methods in enveloping algebras of Lie superalgebras. II
• Delta methods in enveloping algebras of Lie colour algebras
• Orders in Artinian rings
• Prime rings satisfying a generalized polynomial identity
• Minimal prime ideals in enveloping algebras of Lie superalgebras

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