Exact Embeddings into Artinian Rings

DOI10.2307/2160314zbMath0793.16011OpenAlexW4241439997MaRDI QIDQ5288040

R. A. Beaulieu, Anders Jensen

Publication date: 22 August 1994

Full work available at URL: https://doi.org/10.2307/2160314

zbMATH Keywords

associated graded ringNoetherian algebrasOre extensionsprime radicalflat embeddingsimple Artinian ringNoetherian algebraembeddability theoremsexact Sylvester rank functionfinitely presented \(R\)-modulesMorita equivalent Noetherian rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Graded rings and modules (associative rings and algebras) (16W50) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Nonembeddable Factors of the Enveloping Algebras of Semisimple Lie Algebras
• Middle annihilators in noetherian rings
• Classical Quotient Rings of Group Graded Rings
• Relative krull dimension and prime ideals in right noetherian rings
• A New Algebraic Approach to Microlocalization of Filtered Rings
• The embedding problem for Noetherian rings

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