Stability of Gelfand–Kirillov dimension for rings with the strong second layer condition

DOI10.1017/S0013091500006118zbMath0819.16018MaRDI QIDQ4312761

Thomas H. Lenagan

Publication date: 24 August 1995

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

zbMATH Keywords

growthassociated primesGelfand-Kirillov dimensioninjective modulesstrong second layer conditionessential extensionsextensions of modulesdensity condition of Jategaonkarinjective indecomposable \(R\)- modulesNoetherian \(k\)- algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Growth rate, Gelfand-Kirillov dimension (16P90) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Solutions to two questions about the Weyl algebras

Cites Work

• Non-holonomic modules over Weyl algebras and enveloping algebras
• The influence of ideal structure on representation theory
• Affiliated series and extensions of modules
• Non-Artinian Essential Extensions of Simple Modules
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