Generalized Dedekind domains and their injective modules

DOI10.1016/0022-4049(94)90030-2zbMath0845.13005OpenAlexW2025353872WikidataQ114215364 ScholiaQ114215364MaRDI QIDQ1328770

Alberto Facchini

Publication date: 7 August 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90030-2

zbMATH Keywords

generalized Dedekind domainsPrüfer domain

Mathematics Subject Classification ID

Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (20)

Prüfer domains and pure submodules of direct sums of ideals ⋮ Almost maximal prüfer domains ⋮ Noetherian-like properties in polynomial and power series rings ⋮ Krull dimension of power series rings over non-SFT domains ⋮ Totally ordered sets and the prime spectra of rings ⋮ Realizing posets as prime spectra of Leavitt path algebras ⋮ Injective Modules over Prüferv-Multiplication Domains ⋮ Krull dimension and generic fibres for mixed polynomial and power series integral domains ⋮ Prüfer domains of integer-valued polynomials on a subset ⋮ Modules with chain conditions up to isomorphism ⋮ \(\Sigma\)-injective modules over left duo and left distributive rings ⋮ Globalizing local properties of Prüfer domains ⋮ A Note ont-SFT-rings ⋮ On the number of injective indecomposable modules ⋮ Invertible and divisorial ideals of generalized Dedekind domains ⋮ Stability, duality, 2-generated ideals and a canonical decomposition of modules ⋮ On ϕ-piecewise Noetherian rings ⋮ On Močkor's question ⋮ A note on generalized Krull domains ⋮ The piecewise Noetherian property in power series rings over a valuation domain

Cites Work

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• Injective modules over Noetherian rings
• Torsion-free covers and pure-injective envelopes over valuation domains
• Valuation domains without pathological modules
• Relative injectivity and pure-injective modules over Prüfer rings
• Constructing Bezout domains
• On a class of rings that generalize Dedekind rings
• Decompositions of injective modules
• The spectrum of a ring as a partially ordered set
• Injective Modules Over Prufer Rings
• Multiply Maximally Complete Fields
• Almost Maximal Integral Domains and Finitely Generated Modules
• Piecewise noetherian rings
• Semi-Valuations and Groups of Divisibility
• Prime Ideal Structure in Commutative Rings
• Almost Maximal Valuation Rings
• Krull dimension

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