Associated series and regular elements of Noetherian rings

DOI10.1016/0021-8693(87)90202-XzbMath0621.16014OpenAlexW1967658690MaRDI QIDQ1090394

Alfred Goldie, Günter Krause

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90202-x

zbMATH Keywords

noetherian ringright regular elementsfull associated seriesfull series of annihilator idealsright regular set of primessaturated chain

Mathematics Subject Classification ID

Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Additive rank functions in Noetherian rings ⋮ Annihilator Primes and Foundation Primes ⋮ Flat embeddings of noetherian algebras in artinian rings

Cites Work

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• Prime Ideals in Ring Extensions
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• Noetherian Full Quotient Rings
• Regularity of Zero Divisors
• Shorter Notes: Artinian Ideals in Noetherian Rings