Modules and Rings Satisfying (ACCR)

DOI10.2307/2159690zbMath0768.13002OpenAlexW4239015491MaRDI QIDQ4032494

Chin-Pi Lu

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2159690

zbMATH Keywords

polynomial ringpower series ringvaluation ringaccr

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Valuation rings (13F30) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Formal power series rings (13F25) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (16)

Rings withS-acc ond-annihilators ⋮ Pairs of domains where all intermediate domains satisfy S-ACCP ⋮ When is (D,K) anS-accr pair? ⋮ ACCR ring of the forms \(\mathcal {A}[X\) and \(\mathcal {A}X\)] ⋮ Some results on \(S\)-primary ideals of a commutative ring ⋮ Semistar ascending chain conditions over polynomial rings ⋮ On modules satisfying \(S\)-Noetherian spectrum condition ⋮ accr pairs ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Endo-Noetherian rings ⋮ Some results on modules satisfying \(S\)-strong \(accr^\ast\) ⋮ Modules with \(n\)-acc and the acc on certain types of annihilators. ⋮ On strongly dccr⋆ modules ⋮ Ore extensions over right strongly Hopfian rings.

Cites Work

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• N-rings and ACC on colon ideals
• Modules satisfying ACC on a certain type of colons
• The Krull intersection theorem. II
• The Laskerian Property, Power Series Rings and Noetherian Spectra
• Piecewise noetherian rings
• On the Noetherian-like rings of E. G. Evans

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