ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes

DOI10.1081/AGB-120027975zbMath1094.13029MaRDI QIDQ3154517

Daniel Frohn

Publication date: 14 January 2005

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

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (2)

Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings ⋮ The ascending chain condition for principal left or right ideals of skew generalized power series rings.

Cites Work

• Commutative rings with ACC on n-generated ideals
• Modules with \(n\)-acc and the acc on certain types of annihilators.
• Some Remarks on The Acc on Annihilators
• A COUNTEREXAMPLE CONCERNING ACCP IN POWER SERIES RINGS

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