Ideal invariance and Artinian quotient rings

DOI10.1016/0021-8693(78)90196-5zbMath0408.16002OpenAlexW2019788278MaRDI QIDQ5906196

J. Toby Stafford, Günter Krause, Thomas H. Lenagan

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90196-5

zbMATH Keywords

Artinian Quotient RingNoetherian K-Homogeneous RingsNoetherian Rings with Krull DimensionOre ConditionRightfully Bounded RingsWeakly Ideal Invariant

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

The Structure of some Right Noetherian Rings with Krull Dimension One, Unnamed Item, Ideal invariance and localization, Modules

Cites Work

• Unnamed Item
• Artinian quotient rings of FBN rings
• Stable structure of noncommutative Noetherian rings
• Stable structure of noncommutative Noetherian rings. II
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Torsion-free modules and rings
• On fully left bounded left Noetherian rings
• Finitely embedded modules over Noetherian rings
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Noetherian Rings with Krull Dimension One
• Krull dimension