Non-commutative regular local rings of dimension 2

DOI10.1016/0021-8693(88)90292-XzbMath0648.16010OpenAlexW1996040300MaRDI QIDQ1105008

A. W. Chatters

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90292-x

zbMATH Keywords

maximal idealsprime ideallocalizationintegral domainnoetherian ringOre localizationmaximal Ore setdirect sum of bounded hereditary noetherian prime ringsKrull and global dimensions

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) 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) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (2)

On non-commutative Noetherian local rings, non-commutative geometry and particle physics. ⋮ Representation of tiled matrix rings as full matrix rings

Cites Work

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• Weak Ideal Invariance and Localisation
• Ideal invariance and localization
• Localisations dans les ordres maximaux
• A Change of Rings Theorem
• Asano Orders
• Bounded Asano Orders are Hereditary
• Local Rings and Normalizing Sets of Elements

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