Middle annihilators in noetherian rings

DOI10.1080/00927878008822489zbMath0429.16013OpenAlexW2131009920MaRDI QIDQ3866229

Günter Krause

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822489

zbMATH Keywords

FBN ringsminimal prime idealsassociated prime idealsArtinian quotient ringmaximal middle annihilator ideals

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 (8)

Associated series and regular elements of Noetherian rings ⋮ Exact Embeddings into Artinian Rings ⋮ Quotient rings and localization for Noetherian rings ⋮ Dimension de gelfand-kirillov et decomposition primaire bilatere dans certaines algebres filtrees ⋮ Associative rings ⋮ Linked Primes and Orders in Artinian Rings ⋮ Flat embeddings of noetherian algebras in artinian rings ⋮ A Prime Ideal Principle for Two-Sided Ideals

Cites Work

• Stable structure of noncommutative Noetherian rings. II
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Orders in Artinian rings
• Primary decomposition in right noetherian rings

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