Chains of factorizations in weakly Krull domains

DOI10.4064/cm-72-1-53-81zbMath0874.13001OpenAlexW238085152WikidataQ114022018 ScholiaQ114022018MaRDI QIDQ3122763

Alfred Geroldinger

Publication date: 4 November 1997

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210456

zbMATH Keywords

factorizationscatenary degreeweakly Krull domainsfinite catenary degree

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (11)

Factorization invariants of the additive structure of exponential Puiseux semirings ⋮ Chains of factorizations and sets of lengths ⋮ The Importance of Being Prime ^⋆ , a Nontrivial Generalization for Nonunique Factorizations ⋮ Commutative rings with absorbing factorization ⋮ Diversity in monoids ⋮ Local tameness of \(v\)-Noetherian monoids. ⋮ On factorization invariants and Hilbert functions ⋮ On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. ⋮ Chains of Factorizations and Factorizations with Successive Lengths ⋮ When is length a length function? ⋮ Computation of the \(\omega\)-primality and asymptotic \(\omega\)-primality with applications to numerical semigroups.

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