ACCP in Polynomial Rings: A Counterexample

DOI10.2307/2160301zbMath0828.13013OpenAlexW4247319916WikidataQ124978105 ScholiaQ124978105MaRDI QIDQ4305988

David C. Lantz, William J. Heinzer

Publication date: 11 December 1995

Full work available at URL: https://doi.org/10.2307/2160301

zbMATH Keywords

polynomial ringprincipal idealsascending chain condition

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (13)

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY ⋮ Special properties of differential inverse power series rings ⋮ On reduced archimedean skew power series rings ⋮ Chain conditions on composite Hurwitz series rings ⋮ A study on skew Hurwitz series rings ⋮ On the arithmetic of polynomial semidomains ⋮ Study of skew inverse Laurent series rings ⋮ Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings ⋮ On the ACCP in skew Poincaré-Birkhoff-Witt extensions ⋮ The ascending chain condition for principal left or right ideals of skew generalized power series rings. ⋮ Unique factorization in polynomial rings with zero divisors ⋮ Associates, irreducibility, and factorization length in monoid rings with zero divisors ⋮ Modules with \(n\)-acc and the acc on certain types of annihilators.

Cites Work

• Factorization in integral domains
• Sur des conditions de chaînes ascendantes dans des modules libres
• Commutative rings with ACC on n-generated ideals
• Exemples d’anneaux n-acc
• Unnamed Item
• Unnamed Item

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