A nonembeddable Noetherian ring

DOI10.1016/0021-8693(88)90289-XzbMath0641.16009MaRDI QIDQ1100537

Caron Dean, J. Toby Stafford

Publication date: 1988

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

zbMATH Keywords

universal enveloping algebrasembeddabilityprimary decompositionnoetherian ringsartinian ringnonsolvable Lie algebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Centralizing and normalizing extensions (16S20)

Related Items (7)

Exact Embeddings into Artinian Rings ⋮ Malcolmson semigroups ⋮ When every projective module is a direct sum of finitely generated modules ⋮ Embeddings in Artinian rings and Sylvester rank functions ⋮ Embedding Noetherian rings in Artinian rings ⋮ Flat embeddings of noetherian algebras in artinian rings ⋮ Generating Modules Efficiently Over Noncommutative Noetherian Rings

Cites Work

• Unnamed Item
• Embeddings in Artinian rings and Sylvester rank functions
• Non-holonomic modules over Weyl algebras and enveloping algebras
• Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings
• Module extensions over Noetherian rings
• Primitive ideals in enveloping algebras
• The Primitive Factor Rings of the Enveloping Algebra of sl (2, C )
• Solvable lie algebras polycyclic-by-finite groups and bimodule krull dimension
• The embedding problem for Noetherian rings

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