On Pure Quotients and Pure Subobjects

DOI10.1007/s10587-004-6413-9zbMath1080.18500OpenAlexW1492039332MaRDI QIDQ3366658

Jiří Adámek, Jiří Rosický

Publication date: 14 February 2006

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

Full work available at URL: https://eudml.org/doc/30887

zbMATH Keywords

locally presentable categoryabelian categorysemi-abelian categorypure subobjectpure quotient

Mathematics Subject Classification ID

General theory of categories and functors (18A99) Categorical algebra (18E99)

Related Items

A solution to the conjecture on \(\lambda \)-pure acyclic complexes ⋮ Accessible model categories ⋮ Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories ⋮ Flatness properties of acts over semigroups ⋮ The tensor embedding for a Grothendieck cosmos ⋮ What is a finitely related object, categorically? ⋮ Cofibrant generation of pure monomorphisms ⋮ Phantom covering ideals in categories without enough projective morphisms ⋮ Approximations and adjoints in homotopy categories ⋮ Effective codescent morphisms in locally presentable categories ⋮ Enriched weakness ⋮ On projectivity in locally presentable categories. ⋮ A Construction of Relatively Pure Submodules ⋮ Descent in locally presentable categories ⋮ Pure morphisms in pro-categories ⋮ Definable additive categories: purity and model theory

Cites Work

• Normal subobjects and abelian objects in protomodular categories
• Accessible Categories: The Foundations of Categorical Model Theory
• Unnamed Item
• Unnamed Item