Notes on several orthogonal classes of flat and \(FP\)-injective functors

DOI10.1134/S0001434614010088zbMath1316.18005OpenAlexW2048522079WikidataQ114075424 ScholiaQ114075424MaRDI QIDQ2341960

Li-Xin Mao

Publication date: 8 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434614010088

zbMATH Keywords

flat functor(pre)cover(pre)envelope\(\mathfrak F\)-flat functor\(\mathfrak F\)-injective functor\(\mathfrak F\)-projective functor\(FP\)-injective functor

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Projectives and injectives (category-theoretic aspects) (18G05) Functor categories, comma categories (18A25) Homological methods in associative algebras (16Exx)

Related Items

On homological dimensions in some functor categories, The Auslander-Reiten formula on finitely presented functor categories

Cites Work

• Contravariant functors on the category of finitely presented modules.
• Injective and flat covers, envelopes and resolvents
• On the global dimension of the functor category \(((\bmod R)^{op},Ab)\) and a theorem of Kulikov
• Relative homological algebra
• The phantom cover of a module.
• Approximations and endomorphism algebras of modules.
• Locally finitely presented additive categories
• On envelopes with the unique mapping property
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