The Quotient Problem for Noetherian Rings

DOI10.4153/CJM-1981-056-5zbMath0478.16009MaRDI QIDQ3934548

Bruno J. Mueller

Publication date: 1981

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicallinklocalizationOre conditionclanArtin-Rees propertyOre setclassical quotient ringartinian quotient ringsKrull dimension sequenceKrull radicalsKrull symmetrysemilocal quotient ring

Mathematics Subject Classification ID

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

Localization at collections of minimal primes, Quotient rings and localization for Noetherian rings, On full quotient rings of normalizing extensions, Strongly regular elements of Noetherian rings, Affine Noetherian PI-rings have enough clans, Krull symmetric Noetherian rings and their homogeneous components