Krull and Global Dimensions of Fully Bounded Noetherian Rings

DOI10.2307/2045178zbMath0557.16009OpenAlexW4236009016MaRDI QIDQ3222331

Kenneth A. Brown, Robert B. jun. Warfield

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045178

zbMATH Keywords

prime idealsKrull dimensioncliqueglobal dimensionsFBN ringsNoetherian PI ringscentral unitsfully bounded Noetherian ringLaurent power serieslocalized ring

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) 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) Localization and associative Noetherian rings (16P50)

Related Items

Localization and ideal theory in Noetherian strongly group-graded rings, Localization and ideal theory in iterated differential operator rings, Krull Versus Global Dimension in Noetherian P.I. Rings, Finitistic dimensions of Noetherian rings, Prime ideals in skew polynomial rings and quantized Weyl algebras, Homological identities for noncommutative rings, Smooth polynomial identity algebras with almost factorial centers., The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic, A structure theorem for Noetherian P. I. rings with global dimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• A counter-example in ring theory and homological algebra
• On the global dimension of residue rings
• Homologically Homogeneous Rings
• Krull Versus Global Dimension in Noetherian P.I. Rings
• On the Ideals of a Noetherian Ring
• Noetherian Rings of Finite Global Dimension
• Krull and Global Dimensions of Semiprime Noetherian PI-Rings
• Global Dimension of Differential Operator Rings. II
• Shorter Notes: Artinian Ideals in Noetherian Rings
• On the Global Dimension of Some Filtered Algebras
• Homological properties of the ring of differential polynomials