Injective modules and prime ideals

DOI10.1080/00927878108822627zbMath0458.16015OpenAlexW2024762812WikidataQ56287058 ScholiaQ56287058MaRDI QIDQ3907709

Patrick F. Smith

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822627

zbMATH Keywords

injective modulesfinite global dimensionprime right idealsacc on prime idealscommutative noetherian integral domain

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological dimension and commutative rings (13D05) Injective and flat modules and ideals in commutative rings (13C11) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (19)

The homological dimensions of simple modules ⋮ Relative copure injective and copure flat modules. ⋮ Noncommutative generalizations of theorems of Cohen and Kaplansky. ⋮ Some Aspects of StronglyP-projective Modules and Homological Dimensions ⋮ Second Modules Over Noncommutative Rings ⋮ On MF-projective modules ⋮ ON RELATIVE INJECTIVITY ⋮ NOTES ON COTORSION MODULES ⋮ FP-PROJECTIVE DIMENSIONS ⋮ Matlis flat modules ⋮ Neat-flat Modules ⋮ On max-flat and max-cotorsion modules ⋮ The injective test lemma in fully bounded rings ⋮ Cotorsion modules and relative pure-injectivity ⋮ The complement of Gabriel topologies ⋮ Ideals and modules testing injectivity ⋮ \(M\)-\(\mathcal A\)-injective (flat) and strongly \(\mathcal B\)-injective (flat) modules. ⋮ On subinjectivity domains of RD-injective modules ⋮ On noncommutative piecewise Noetherian rings

Cites Work

• Unnamed Item
• Modules injective with respect to primes
• On Divisibility and Injectivity

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