FULLY BOUNDED NOETHERIAN RINGS OF FINITE INJECTIVE DIMENSION

DOI10.1093/qmath/41.1.1zbMath0691.16037OpenAlexW1966496704WikidataQ114090202 ScholiaQ114090202MaRDI QIDQ3032446

Kenneth A. Brown

Publication date: 1990

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/41.1.1

zbMATH Keywords

prime idealinjective dimensioninjective hullcentral unitsprojective dimensionsright Krull dimensionminimal injective resolutionnoetherian P.I. ringsimple right R-modulesright global dimensionfully bounded noetherian ringaffine noetherian P.I. algebrauniform right ideal

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 (8)

Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension ⋮ Ore localization and minimal injective resolutions. ⋮ The Cohen Macaulay property for noncommutative rings ⋮ Finitistic dimensions of Noetherian rings ⋮ Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras. ⋮ Minimal injective resolution of an order over a local dedekind domain ⋮ Auslander-gorenstein rings ⋮ Residue complexes over noncommutative rings.

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