On reduced rank of triangular matrix rings

DOI10.1142/S0219498815500590zbMath1319.16018OpenAlexW2066981502MaRDI QIDQ4983053

Abigail C. Bailey, John A. Beachy

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500590

zbMATH Keywords

triangular matrix ringsorders in Artinian ringsreduced rank of ringsrings with finite reduced rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

• Unnamed Item
• Reduced rank in Noetherian rings
• The descending chain condition relative to a torsion theory
• Localization at semiprime ideals
• Torsion-free modules and rings
• Rings with finite reduced rank
• Injective modules with both ascending and descending chain conditions on annihilators
• Bezout rings and serial rings

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