Localizations of injective modules

DOI10.1017/S0013091500017089zbMath0562.16013OpenAlexW2110817761WikidataQ114117499 ScholiaQ114117499MaRDI QIDQ5187418

David A. Jordan, Kenneth R. Goodearl

Publication date: 1985

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500017089

zbMATH Keywords

global dimensionlocalizationinjective dimensioninjective hullinjective modulenoetherian ringsimple noetherian domaindenominator setregular normalizing elements

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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 (4)

Injectively homogeneous rings ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ Ore localization and minimal injective resolutions. ⋮ Behavior of the Auslander condition with respect to regradings

Cites Work

• Localization of injective modules
• Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules
• Krull dimension and global dimension of simple Ore-extensions
• Injective Dimension in Noetherian Rings
• Global Dimension of Differential Operator Rings
• A generalization of a theorem on linear differential equations

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