On homological dimensions in some functor categories

DOI10.1134/S000143461703021XzbMath1368.18001OpenAlexW2608259362MaRDI QIDQ2364561

Yanyan Li

Publication date: 21 July 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461703021x

zbMATH Keywords

global dimensionweak global dimensioncotorsion dimensionFP-injective dimensionFP-projecive dimension

Mathematics Subject Classification ID

Functor categories, comma categories (18A25)

Cites Work

• Contravariant functors on the category of finitely presented modules.
• On the global dimension of the functor category (mod R, Ab)
• The flat dimensions of injective modules
• On the global dimension of the functor category \(((\bmod R)^{op},Ab)\) and a theorem of Kulikov
• Relative homological algebra
• Notes on several orthogonal classes of flat and \(FP\)-injective functors
• The phantom cover of a module.
• The global dimension of Boolean rings
• Flat covers and cotorsion envelopes of sheaves
• On pure global dimension of locally finitely presented Grothendieck categories
• Locally finitely presented additive categories
• Homotopy theory of modules and Gorenstein rings
• On Covers and Envelopes in Some Functor Categories
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