On the global dimension of the functor category \(((\bmod R)^{op},Ab)\) and a theorem of Kulikov

DOI10.1016/0022-4049(83)90070-1zbMath0507.16030OpenAlexW2006260774MaRDI QIDQ1837273

Hermann Brune

Publication date: 1983

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(83)90070-1

zbMATH Keywords

global dimensioncontravariant functorslocally noetherian categorycategory of finitely presented right modulesKulikov propertypure projective right module

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10)

Related Items

On homological dimensions in some functor categories, Sur la conjecture de brauer-thrall pour les modules par, On a formula of Kuz'minov, On Covers and Envelopes in Some Functor Categories, On strongly flat and \(\Omega\)-Mittag-Leffler objects in the category \(((R\mathrm{-mod})^{\mathrm{op}},\mathrm{Ab})\)., Copure semisimple categories and almost split maps., Pure derived and pure singularity categories, Strong preinjective partitions and almost split morphisms, Additive categories of locally finite representation type, Infinite dimensional serial algebras and their representations, On modules with the Kulikov property and pure semisimple modules and rings, Some precovers and preenvelopes in functor categories, A homological approach to representations of algebras. II: Tame hereditary algebras, Notes on several orthogonal classes of flat and \(FP\)-injective functors

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