On the Global Dimension of a Ring Modulo its Nilpotent Radical

DOI10.2307/2046024zbMath0641.16024OpenAlexW4252507084MaRDI QIDQ3781888

James J. Kuzmanovich, Ellen E. Kirkman

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046024

zbMATH Keywords

global dimensionnilpotent radicalnoetherian affine PI ringnoetherian right hereditary ring

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx)

Cites Work

• Unnamed Item
• Matrix subrings having finite global dimension
• Examples of orders over discrete valuation rings
• On the global dimension of residue rings
• Piecewise domains
• Some constructions of rings of finite global dimension
• On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary Rings
• Another Change of Rings Theorem
• Krull and Global Dimensions of Semiprime Noetherian PI-Rings
• HEREDITARY RINGS
• Maximal Orders

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