Lazard’s theorem for S-pure flat modules

DOI10.1080/00927872.2017.1376215zbMath1440.16008OpenAlexW2754756154MaRDI QIDQ4567853

Fatemeh Zareh-Khoshchehreh

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1376215

zbMATH Keywords

direct limitAuslander transpose\(\mathcal S\)-pure flat module\(\mathcal S\)-pure injective module\(\mathcal S\)-pure projective module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Bimodules in associative algebras (16D20) Other classes of modules and ideals in associative algebras (16D80) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Preadditive, additive categories (18E05)

Related Items (1)

A construction of relative left derived functors similar to $\operatorname {Tor}$

Cites Work

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• Modules with cosupport and injective functors.
• On the free product of associative rings
• Relative injectivity and pure-injective modules over Prüfer rings
• On pure subgroups of abelian groups
• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• Purity and algebraic compactness for modules
• RD-Flatness and RD-Injectivity
• The existence of relative pure injective envelopes
• Autour de la platitude
• Stable module theory

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