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PURE-INJECTIVES RELATIVE TO A COTORSION PAIR: APPLICATIONS

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Publication:4899928
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DOI10.1017/S001708951200033XzbMath1269.18006MaRDI QIDQ4899928

Pedro A. Guil Asensio, Sergio Estrada

Publication date: 10 January 2013

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


zbMATH Keywords

puritycotorsion pairfinitely accessible category


Mathematics Subject Classification ID

Accessible and locally presentable categories (18C35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)




Cites Work

  • Relative homological algebra in the category of quasi-coherent sheaves.
  • Totally acyclic complexes over noetherian schemes
  • Flat and cotorsion quasi-coherent sheaves. Applications
  • Infinite Abelian groups and homological methods
  • Model theory of modules
  • Flat covers of modules
  • Flat covers and cotorsion envelopes of sheaves
  • ALL MODULES HAVE FLAT COVERS
  • Flat Covers in the Category of Quasi-coherent Sheaves Over the Projective Line
  • Locally finitely presented additive categories
  • Gorenstein categories and Tate cohomology on projective schemes
  • Additive categories of locally finite representation type
  • Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications
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