Exemples d’anneaux n-acc

DOI10.1080/00927878408823072zbMath0541.16014OpenAlexW2115115564MaRDI QIDQ3328690

Maria Elisa Antunes Simões, Anne-Marie Nicolas

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823072

zbMATH Keywords

Noetherian ringsexamplesascending chain conditionn-acc modulen-generated submodules

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

Condition n-A.C.C ⋮ Rings whose free modules satisfy the ascending chain condition on submodules with a bounded number of generators ⋮ Dirct products satisfying the ascending chain condition for submodules with a bounded number of generators ⋮ ACCP in Polynomial Rings: A Counterexample ⋮ Finitely presented modules over semiperfect rings satisfying ACC-\(\infty\)

Cites Work

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• Sur les modules tels que toute suite croissante de sous-modules engendres par n générateurs soit stationnaire
• Atomic rings without a.c.c. on principal ideals
• Sur des conditions de chaînes ascendantes dans des modules libres
• Commutative rings with ACC on n-generated ideals
• Subrings of Artinian and Noetherian rings

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