On the homotopy categories of projective and injective representations of quivers

DOI10.1016/j.jalgebra.2011.08.028zbMath1315.18016OpenAlexW2088586180WikidataQ123005485 ScholiaQ123005485MaRDI QIDQ2428071

Javad Asadollahi, Rasool Hafezi, Hossein Eshraghi, Shokrollah Salarian

Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.08.028

zbMATH Keywords

homotopy categorycompactly generatedrepresentation of quivers

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Representations of quivers and partially ordered sets (16G20) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (8)

Homotopy category of projective complexes and complexes of Gorenstein projective modules. ⋮ Sheaves over infinite posets ⋮ Homotopy category of \(N\)-complexes of projective modules ⋮ On the existence of recollements of functor categories ⋮ COTORSION THEORY IN THE CATEGORY OF QUIVER REPRESENTATIONS ⋮ Total Acyclicity for Complexes of Representations of Quivers ⋮ Representation dimension of generalized path algebras of cyclic quivers ⋮ Minimal injective resolutions and Auslander-Gorenstein property for path algebras

Cites Work

• The homotopy category of flat modules, and Grothendieck duality
• The homotopy category of complexes of projective modules
• Tensor products on quiver representations.
• Acyclicity versus total acyclicity for complexes over noetherian rings
• Triangulated Categories
• Localization theory for triangulated categories
• Dualizing complexes for commutative Noetherian rings
• A Homotopy of Quiver Morphisms with Applications to Representations
• Flat Covers and Flat Representations of Quivers
• the stable derived category of a noetherian scheme
• Projective Representations of Quivers #

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