\(S\)-prime ideals of a commutative ring

DOI10.1007/S13366-019-00476-5zbMath1442.13010OpenAlexW2989884293WikidataQ114687568 ScholiaQ114687568MaRDI QIDQ784769

Achraf Malek, Ahmed Hamed

Publication date: 3 August 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-019-00476-5

zbMATH Keywords

\(S\)-Noetherian rings\(S\)-prime ideals

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (20)

On S-1-absorbing prime and weakly S-1-absorbing prime ideals ⋮ S-primary ideals of a commutative ring ⋮ S-principal ideal multiplication modules ⋮ When is (D,K) anS-accr pair? ⋮ Some results on \(S\)-primary ideals of a commutative ring ⋮ On graded \(s\)-prime submodules ⋮ On \(S\)-weakly prime ideals of commutative rings ⋮ On $S$-comultiplication modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(S\)-prime ideals, \(S\)-Noetherian noncommutative rings, and the \(S\)-Cohen's theorem ⋮ Unnamed Item ⋮ Quasi- S -primary ideals of commutative rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On perfect ideals of seminearrings ⋮ On \(S\)-second spectrum of a module ⋮ On modules satisfying \(S\)-dccr condition ⋮ Unnamed Item

Cites Work

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• A Note on S-Noetherian Domains
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• UNIQUE FACTORIZATION AND BIRTH OF ALMOST PRIMES
• S-NOETHERIAN RINGS
• On 2-absorbing ideals of commutative rings
• S-Noetherian Properties of Composite Ring Extensions

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