Flat embeddings of noetherian algebras in artinian rings

DOI10.1007/BF02808013zbMath0780.16020MaRDI QIDQ1802333

Günter Krause

Publication date: 15 December 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gelfand-Kirillov dimensionprimary decompositionnoetherian algebraartinian ringfinitely generated right \(R\)-modulesflat artinian embeddingprime middle annihilators

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Growth rate, Gelfand-Kirillov dimension (16P90) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items (1)

Embedding Noetherian rings in Artinian rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embeddings in Artinian rings and Sylvester rank functions
• Strongly regular elements of Noetherian rings
• Additive rank functions in Noetherian rings
• Associated series and regular elements of Noetherian rings
• A nonembeddable Noetherian ring
• An additivity principle for Goldie rank
• Orders in Artinian rings
• Nonembeddable Factors of the Enveloping Algebras of Semisimple Lie Algebras
• Middle annihilators in noetherian rings
• GELFAND-KIRILLOV DIMENSION IN ENVELOPING ALGEBRAS
• Primary decomposition in enveloping algebras
• Noetherian Full Quotient Rings
• Primary decomposition in right noetherian rings
• Anneaux noetheriens à gauche complément primaires et anneaux co-irréductibles.

This page was built for publication: Flat embeddings of noetherian algebras in artinian rings