Modules Satisfying the S-Noetherian Property and S-ACCR

DOI10.1080/00927872.2015.1027377zbMath1347.13005OpenAlexW2343480587MaRDI QIDQ2813638

Ahmed Hamed, Sana Hizem

Publication date: 24 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027377

zbMATH Keywords

\(S\)-ACCR\(S\)-Noetherian

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Theory of modules and ideals in commutative rings (13C99)

Related Items (26)

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY ⋮ Rings withS-acc ond-annihilators ⋮ Pairs of domains where all intermediate domains satisfy S-ACCP ⋮ When is (D,K) anS-accr pair? ⋮ On \(S\)-strong Mori modules ⋮ Some results on \(S\)-primary ideals of a commutative ring ⋮ A generalization of pure submodules ⋮ On S-pseudo-irreducible ideals ⋮ On S-Mori domains ⋮ \(S\)-injective modules ⋮ Eakin-Nagata-Eisenbud theorem for right \(S\)-Noetherian rings ⋮ Quasi- S -primary ideals of commutative rings ⋮ Unnamed Item ⋮ S-Noetherian spectrum condition ⋮ On right S-Noetherian rings and S-Noetherian modules ⋮ On S-coherence ⋮ Unnamed Item ⋮ On S-prime submodules ⋮ When every regular ideal is S-finite ⋮ Unnamed Item ⋮ S-Artinian rings and finitely S-cogenerated rings ⋮ Some results on modules satisfying \(S\)-strong \(accr^\ast\) ⋮ On \(S\)-second spectrum of a module ⋮ \(S\)-prime ideals of a commutative ring ⋮ On modules satisfying \(S\)-dccr condition ⋮ Fully S-coidempotent modules

Cites Work

• Modules satisfying ACC on a certain type of colons
• S-Noetherian Rings of the Forms 𝒜[X and 𝒜[[X]]]
• S-NOETHERIAN RINGS
• Ideal Decompositions in Noetherian Rings
• IDEALS AND SUBMODULES OF MULTIPLICATION MODULES

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