Nil subsets of graded algebras

DOI10.1090/S0002-9939-98-04131-8zbMath0899.16007OpenAlexW1480860238MaRDI QIDQ4383042

Lance W. Small, Susan Montgomery

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04131-8

zbMATH Keywords

Lie color algebrasuniversal enveloping algebrasJacobson radicalaffine PI algebrasnilpotent subalgebrasgraded Noetherian algebrasnil subsetsweakly closed sets

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Graded rings and modules (associative rings and algebras) (16W50) Universal enveloping algebras of Lie algebras (16S30) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16R99)

Related Items (2)

On graded characterizations of finite dimensionality for algebraic algebras ⋮ Representations of Lie colour algebras

Cites Work

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• Triality and Lie algebras of type \(D_4\)
• Semi-Prime Rings with Maximum Condition
• Commutators in Division Rings
• Group graded rings
• Some Remarks on Affine Rings

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