The monotone catenary degree of monoids of ideals

DOI10.1142/S0218196719500097zbMath1419.13005arXiv1709.10270OpenAlexW2963250423MaRDI QIDQ5380261

Alfred Geroldinger, Andreas Reinhart

Publication date: 4 June 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10270

zbMATH Keywords

sets of lengthsideal systemsweakly Krull domainsCohen-Kaplansky domainsgeneralized Cohen-Kaplansky domainsmonotone catenary degree

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Arithmetic theory of semigroups (20M13)

Related Items (10)

An abstract factorization theorem and some applications ⋮ Unnamed Item ⋮ Length-factoriality in commutative monoids and integral domains ⋮ Factorizations of the same length in abelian monoids ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ On strongly primary monoids, with a focus on Puiseux monoids ⋮ On finite molecularization domains ⋮ On the arithmetic of stable domains ⋮ On half-factoriality of transfer Krull monoids ⋮ A characterization of length-factorial Krull monoids

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