Krull Versus Global Dimension in Noetherian P.I. Rings

DOI10.2307/2045179zbMath0519.16011OpenAlexW4238929299MaRDI QIDQ3669580

Lance W. Small, Kenneth R. Goodearl

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045179

zbMATH Keywords

global dimensionKrull dimensionnoetherian P.I. ringfully bounded noetherian ringsLaurent series ringchange-of-rings theorems

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx)

Related Items (10)

Localization and ideal theory in Noetherian strongly group-graded rings ⋮ Localization and ideal theory in iterated differential operator rings ⋮ Semiprime and semiperfect rings of Laurent series ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ Finitistic dimensions of Noetherian rings ⋮ Algebra. Transl. from the Russian ⋮ Laurent series rings and pseudo-differential operator rings. ⋮ Krull and Global Dimensions of Fully Bounded Noetherian Rings ⋮ A structure theorem for Noetherian P. I. rings with global dimension two ⋮ Noncommutative (crepant) desingularizations and the global spectrum of commutative rings

Cites Work

• Unnamed Item
• Unnamed Item
• On the global dimension of rings
• Krull and Global Dimensions of Fully Bounded Noetherian Rings
• Direct Products of Modules
• Krull and Global Dimensions of Semiprime Noetherian PI-Rings
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients

This page was built for publication: Krull Versus Global Dimension in Noetherian P.I. Rings