Modules with \(n\)-acc and the acc on certain types of annihilators.

DOI10.1016/S0021-8693(02)00039-XzbMath1047.13004MaRDI QIDQ1858229

Daniel Frohn

Publication date: 12 February 2003

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

zbMATH Keywords

polynomial ringannihilatoracc on principal idealsacc on \(d\)-colonspan-acc

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (14)

ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes ⋮ The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series ⋮ A study on skew Hurwitz series rings ⋮ Associated and attached primes of local cohomology modules over almost Dedekind domains ⋮ Study of skew inverse Laurent series rings ⋮ Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings ⋮ ARCHIMEDEAN SKEW GENERALIZED POWER SERIES RINGS ⋮ On secondary and representable modules over almost Dedekind domains ⋮ The flat topology on the minimal and maximal prime spectrum of a commutative ring ⋮ On the ACCP in skew Poincaré-Birkhoff-Witt extensions ⋮ Special properties of Hurwitz series rings ⋮ The ascending chain condition for principal left or right ideals of skew generalized power series rings. ⋮ Formal Power Series Over Strongly Hopfian Rings ⋮ On strongly dccr⋆ modules

Cites Work

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• Sur les modules tels que toute suite croissante de sous-modules engendres par n générateurs soit stationnaire
• The Laskerian property in commutative rings
• Sur des conditions de chaînes ascendantes dans des modules libres
• Commutative rings with ACC on n-generated ideals
• The polynomial ring over a Goldie ring need not be a Goldie ring
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Some Remarks on The Acc on Annihilators
• Polynomial Rings Over Goldie Rings are Often Goldie
• Modules and Rings Satisfying (ACCR)
• ACCP in Polynomial Rings: A Counterexample
• A COUNTEREXAMPLE CONCERNING ACCP IN POWER SERIES RINGS
• On the Noetherian-like rings of E. G. Evans
• On semilocal rings

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