On a Generalized Finite Intersection Property

DOI10.1080/00927872.2011.574664zbMath1275.16022OpenAlexW2033787601MaRDI QIDQ2903374

Hong Kee Kim, Yasuyuki Hirano, Yang Lee, John Clark

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.574664

zbMATH Keywords

polynomial ringsmatrix ringsring extensionsright annihilatorsgeneralized finite intersection property

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• An example of a Goldie ring whose matrix ring is not Goldie
• The polynomial ring over a Goldie ring need not be a Goldie ring
• The McCoy Condition on Noncommutative Rings
• Rein injektive direkte summen von moduln

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