COTORSION THEORY IN THE CATEGORY OF QUIVER REPRESENTATIONS

DOI10.1142/S0219498813500059zbMath1283.16013OpenAlexW2099582756MaRDI QIDQ4928311

Hossein Eshraghi, Esmaeil Hosseini, Shokrollah Salarian, Rasool Hafezi

Publication date: 11 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813500059

zbMATH Keywords

complete cotorsion theoriesKaplansky classesGorenstein moduleslocally closed classesGorenstein representationsleft rooted quiversperpendicular classesright rooted quivers

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Representations of quivers and partially ordered sets (16G20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (8)

Constructing cotorsion pairs over generalized path algebras ⋮ Model structures on the category of complexes of quiver representations ⋮ Balanced pairs, cotorsion triplets and quiver representations ⋮ Cotorsion pairs and Hovey triples over trivial ring extensions ⋮ Sheaves over infinite posets ⋮ Unnamed Item ⋮ Completeness of the induced cotorsion pairs in categories of quiver representations ⋮ Cotorsion pairs in categories of quiver representations

Cites Work

• Relative homological algebra in the category of quasi-coherent sheaves.
• On the homotopy categories of projective and injective representations of quivers
• COTORSION REPRESENTATIONS OF QUIVERS
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Injective Representations of Infinite Quivers. Applications
• Flat Covers and Flat Representations of Quivers
• The flat model structure on 𝐂𝐡(𝐑)
• Projective Representations of Quivers #

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