Criteria for flatness and injectivity

DOI10.1007/s00209-011-0910-yzbMath1245.13009arXiv1103.4726OpenAlexW2128652947WikidataQ122231699 ScholiaQ122231699MaRDI QIDQ444206

Yongwei Yao, Neil Epstein

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4726

zbMATH Keywords

torsion-free moduleinjective moduleassociated primeflat modulecoassociated primedivisible moduleh-divisible module

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Local cohomology and commutative rings (13D45) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (4)

Some extensions of Hilbert-Kunz multiplicity ⋮ Regularity and intersections of bracket powers ⋮ Strong Krull primes and flat modules ⋮ Closure-interior duality over complete local rings

Cites Work

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• S-divisible modules over domains
• Localization of tight closure and modules of finite phantom projective dimension.
• Secondary representations for injective modules over commutative Noetherian rings
• Coassociated primes
• Weakly associated primes under change of rings
• Cotorsion modules
• The Homological Dimension of a Quotient Field
• Characterizations of Regular Local Rings of Characteristic p
• Coprimary Decomposition of Artinian Modules

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