Embedding rings with Krull dimension in Artinian rings

DOI10.1006/JABR.1996.0186zbMath0861.16015OpenAlexW2032612745MaRDI QIDQ1922477

Alfred Goldie, Günter Krause

Publication date: 31 October 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0186

zbMATH Keywords

linksNoetherian ringsincomparabilityright idealsreduced rankright Krull dimensionaffiliated seriescliques in Noetherian ringscomparable prime idealsleft flat embeddings into right Artinian ringstwo-sided Noetherian algebras

Mathematics Subject Classification ID

Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

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Embedding Noetherian rings in Artinian rings

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