Injective modules under faithfully flat ring extensions

DOI10.1090/proc/12791zbMath1361.13006arXiv1406.7791OpenAlexW2964300440WikidataQ114094239 ScholiaQ114094239MaRDI QIDQ2790177

Fatih Köksal, Lars Winther Christensen

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7791

zbMATH Keywords

dimensionexact sequencering extensioninjective modulefaithfully fat

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Étale and flat extensions; Henselization; Artin approximation (13B40) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (3)

Tests for injectivity of modules over commutative rings ⋮ Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis) ⋮ Complete intersection Hom injective dimension

Cites Work

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• Transfer of Gorenstein dimensions along ring homomorphisms
• Homological dimensions of unbounded complexes
• Bounded complexes of flat modules
• On the vanishing of \(\lim_{(i)}\)
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Stratifying triangulated categories
• Colocalizing subcategories and cosupport

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