Global dimension of rings with krull dimension

DOI10.1080/00927879208824494zbMath0771.16005OpenAlexW2171422076MaRDI QIDQ4033139

John Koker

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824494

zbMATH Keywords

semiprime ringprojective dimensionsupper triangular matrix ringsweak global dimensionGabriel dimensionleft Krull dimensionright coherent ringleft global homological dimension

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

Noncommutative generalizations of theorems of Cohen and Kaplansky. ⋮ Rings with krull dimension one ⋮ Unnamed Item

Cites Work

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• The Gabriel dimension of a module
• Idealizers and hereditary Noetherian prime rings
• Global dimension of fully bounded noetherian rings
• Global Dimension of Differential Operator Rings. IV – Simple Modules
• Homological properties of the enveloping algebra U(Sl₂)
• On the Global Dimension of Some Filtered Algebras
• Homological properties of the ring of differential polynomials

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