S-Noetherian Rings of the Forms 𝒜[X] and 𝒜[[X]]

DOI10.1080/00927872.2014.924127zbMath1329.13014OpenAlexW1851126747MaRDI QIDQ3448264

Ahmed Hamed, Sana Hizem

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.924127

zbMATH Keywords

polynomial ringformal power series rings\(S\)-Noetherian

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Formal power series rings (13F25)

Related Items (14)

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY ⋮ ACCR ring of the forms \(\mathcal {A}[X\) and \(\mathcal {A}X\)] ⋮ On S-Mori domains ⋮ Generalization of the $S$-Noetherian concept ⋮ \(S\)-injective modules ⋮ Eakin-Nagata-Eisenbud theorem for right \(S\)-Noetherian rings ⋮ S-Noetherian spectrum condition ⋮ On right S-Noetherian rings and S-Noetherian modules ⋮ On S-coherence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modules Satisfying the S-Noetherian Property and S-ACCR ⋮ Endo-Noetherian rings ⋮ \(S\)-prime ideals of a commutative ring

Cites Work

• \(S\)-Noetherian properties on amalgamated algebras along an ideal
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Anti-archimedean rings and power series rings
• S-NOETHERIAN RINGS
• Agreeable domains

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