Injectively homogeneous rings

DOI10.1016/0022-4049(88)90078-3zbMath0648.16017OpenAlexW2034057174MaRDI QIDQ1105009

Kenneth A. Brown, Charudatta R. Hajarnavis

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90078-3

zbMATH Keywords

maximal idealsgroup ringsglobal dimensionpolynomial ringsGorenstein ringsNoetherian ringhomologically homogeneous ringsfinite right injective dimensionright injectively homogeneousrings integral over their centresupper grade

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) Homological methods in associative algebras (16Exx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (10)

Group rings which are v-HC orders and Krull orders ⋮ Affine commutative-by-finite Hopf algebras ⋮ Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ The Cohen Macaulay property for noncommutative rings ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ Some homological invariants of local PI algebras ⋮ Finitistic dimensions of Noetherian rings ⋮ On symmetric, smooth and Calabi-Yau algebras. ⋮ Injective homogeneity and homological homogeneity of the ore extensions

Cites Work

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• Right Noetherian rings integral over their centers
• On the ubiquity of Gorenstein rings
• Homologically Homogeneous Rings
• Noetherian Rings of Finite Global Dimension
• Rings of finite global dimension integral over their centres
• Observations on group rings
• "Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre"
• Prime Ideals in Group Rings of Polycyclic Groups
• Injective modules for group algebras of locally finite groups
• Localizations of injective modules
• Injective Dimension in Noetherian Rings
• Maximal Orders over Regular Local Rings of Dimension Two
• Azumaya, semisimple and ideal algebras
• Krull dimension

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