When is length a length function?

DOI10.1016/j.jalgebra.2005.08.014zbMath1092.13028OpenAlexW2045027623MaRDI QIDQ2575727

Gabriel Picavet, Martine Picavet-L'Hermitte

Publication date: 6 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.08.014

zbMATH Keywords

length function\(\Sigma_1\)-noetherianalmost-noetherian domainideal-length

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (2)

ON 𝜙-PSEUDO-KRULL RINGS ⋮ On the module structure of the integer-valued polynomial rings

Cites Work

• Factorization in integral domains
• Commutative rings in which every ideal is a product of primary ideals
• On primary factorizations
• Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
• Elasticity of factorizations in integral domains
• \(D+M\) constructions with general overrings
• Intersections d'anneaux intégres
• Elasticity of factorizations in atomic monoids and integral domains
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• On finitely generated birational flat extensions of integral domains
• Some remarks on half-factorial orders
• Chains of factorizations in weakly Krull domains
• Arithmetic of Weakly Krull Domains
• On t-invertibility II
• Coherent mori domains and the principal ideal theorem
• Star-operations induced by overrings
• Einbettungsfreie, fast-Noethersche Ringe und ihre Oberringe
• Atomic domains in which almost all atoms are prime
• t-Linked Overrings of Noetherian Weakly Factorial Domains
• On a Theorem of B. Teissier on Multiplicities of Ideals in Local Rings
• Anneauxt-clos
• Piecewise noetherian rings
• Autour de la platitude
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