Commutative rings with ACC on n-generated ideals

DOI10.1016/0021-8693(83)90031-5zbMath0512.13011OpenAlexW2006157135MaRDI QIDQ1839286

David C. Lantz, William J. Heinzer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90031-5

zbMATH Keywords

polynomial ringDedekind domainformal power series ringascending chain conditionNoetherian ringn-accPruefer domainn-generated ideal

Mathematics Subject Classification ID

Commutative algebra (13-XX)

Related Items (24)

ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes ⋮ Pairs of domains where all intermediate domains satisfy S-ACCP ⋮ A COUNTEREXAMPLE CONCERNING ACCP IN POWER SERIES RINGS ⋮ Some Results on Finitely Laskerian Rings ⋮ Condition n-A.C.C ⋮ A note on universally zero-divisor rings ⋮ 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 ⋮ Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings ⋮ On the ascending chain condition for submodules with a bounded number of generators ⋮ On secondary and representable modules over almost Dedekind domains ⋮ The flat topology on the minimal and maximal prime spectrum of a commutative ring ⋮ Finite conductor rings ⋮ The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums ⋮ Noetherian rings whose subidealizer subrings have pan-a.c.c ⋮ Exemples d’anneaux n-acc ⋮ ACCP in Polynomial Rings: A Counterexample ⋮ The ascending chain condition for principal left or right ideals of skew generalized power series rings. ⋮ Factorization in commutative rings with zero divisors ⋮ Some results on modules satisfying \(S\)-strong \(accr^\ast\) ⋮ Associates, irreducibility, and factorization length in monoid rings with zero divisors ⋮ Modules with \(n\)-acc and the acc on certain types of annihilators. ⋮ Factorization in integral domains ⋮ N-rings and ACC on colon ideals

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