Krull symmetric Noetherian rings and their homogeneous components

DOI10.1016/0022-4049(86)90106-4zbMath0591.16013OpenAlexW1974559585MaRDI QIDQ1074699

Ann K. Boyle, Karl A. Kosler

Publication date: 1986

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(86)90106-4

zbMATH Keywords

minimal primesartinian classical quotient ringdecompositions of ringsfaithful idealhomogeneous left idealsKrull symmetric noetherian ringmaximal homogeneous idealright and left Krull dimensionssum of homogeneous left ideals

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) 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)

Module extensions and the second layer condition ⋮ Delta-modules and their quasi-injective hulls

Cites Work

• The endomorphism ring of a Delta-module over a right Noetherian ring
• Artinian quotient rings of ideal invariant Noetherian rings
• Quotient rings and localization for Noetherian rings
• Stable torsion radicals over FBN rings
• Characterization of rings using quasiprojective modules
• Weak Ideal Invariance and Localisation
• K -Symmetric Rings
• Modules △,-injectifs sur les anneaux à dimension de krull
• The Quotient Problem for Noetherian Rings
• Rings with finite reduced rank
• Finitely annihilated modules and orders in artinian rings
• Krull dimension

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