On Covers and Envelopes in Some Functor Categories

DOI10.1080/00927872.2011.649504zbMath1290.16002OpenAlexW2020388122MaRDI QIDQ5326250

Li-Xin Mao

Publication date: 5 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.649504

zbMATH Keywords

coversenvelopescotorsion pairsstable categoriesflat functorsphantom morphismscotorsion functorsExt-phantomsFP-injective functorsFP-projective functors

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) 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 functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Functor categories, comma categories (18A25)

Related Items

On homological dimensions in some functor categories, Flat weakly \(FP\)-injective and \(FP\)-injective weakly flat functors, $(n,d)$-$\mathcal{X}_R$-phantom and $(n,d)$-$_R\mathcal{X}$-cophantom morphisms, Baer-Kaplansky classes in Grothendieck categories and applications, Higher phantom and Ext-phantom morphisms, Higher phantom morphisms with respect to a subfunctor of ext, On \(n\)-phantom and \(n\)-ext-phantom morphisms, Neat-phantom and clean-cophantom morphisms, Relatively divisible and relatively flat objects in exact categories: applications, Precovers and Preenvelopes by Phantom and Ext-Phantom Morphisms, Rings described by some special morphisms of modules, Phantom envelopes and Ext-phantom covers of modules, Some precovers and preenvelopes in functor categories

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