Rings of finite global dimension integral over their centres

DOI10.1080/00927878308822837zbMath0502.16020OpenAlexW2039370070MaRDI QIDQ3967668

Charudatta R. Hajarnavis, A. B. MacEacharn, Kenneth A. Brown

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822837

zbMATH Keywords

Krull dimensionKrull domaincentral elementsArtin-Rees propertyright Artinian right quotient ringfinitely- generated right moduleNoetherian rings of finite global dimensionprime Z-Macaulay ringsaturated chain condition

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (14)

Noncommutative resolutions and rational singularities ⋮ On bounded v-hc orders in a simple artinian ring ⋮ Group rings which are v-HC orders and Krull orders ⋮ Injectively homogeneous rings ⋮ Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension ⋮ Some constructions of rings of finite global dimension ⋮ Polynomials determining hereditary prime PI-rings ⋮ The Cohen Macaulay property for noncommutative rings ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ Representation schemes and rigid maximal Cohen-Macaulay modules ⋮ Non-commutative Cohen-Macaulay rings ⋮ Injective homogeneity and homological homogeneity of the ore extensions ⋮ Reflexive hull discriminants and applications ⋮ Primeness, semiprimeness and localisation in Iwasawa algebras

Cites Work

• Right Noetherian rings integral over their centers
• Schiefkörper unendlichen Ranges über dem Zentrum
• On the global dimension of skew polynomial rings
• Orders with finite global dimension
• Noetherian Pi-Rings
• Noetherian Rings of Finite Global Dimension
• "Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre"
• Radicals of group rings
• The Centres of 2-Firs and Hereditary Rings
• Localization and the AR Property
• Local Rings and Normalizing Sets of Elements
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