Total Acyclicity for Complexes of Representations of Quivers

DOI10.1080/00927872.2012.701682zbMath1282.16019OpenAlexW1985035642MaRDI QIDQ2863656

Hossein Eshraghi, Shokrollah Salarian, Rasool Hafezi

Publication date: 25 November 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.701682

zbMATH Keywords

Artin algebrasquiver representationscategories of representationstotally acyclic complexesGorenstein projective precovers

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items

On 1-Gorenstein algebras of finite Cohen-Macaulay type, Sheaves over infinite posets, Quillen equivalences for stable categories, Lifting recollements of abelian categories and model structures, On the Auslander–Reiten conjecture for Cohen–Macaulay rings and path algebras, Abelian model structures on categories of quiver representations, GORENSTEIN PROJECTIVE OBJECTS IN FUNCTOR CATEGORIES, Auslander-Reiten conjecture in a dual vein, Relative singularity categories and singular equivalences, From subcategories to the entire module categories, Cotorsion pairs in categories of quiver representations, On the recollements of functor categories, Gorenstein flat representations of left rooted quivers, Quiver representations over a quasi-Frobenius ring and Gorenstein-projective modules, Specifying the Auslander transpose in submodule category and its applications

Cites Work

• Unnamed Item
• Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
• Relative homological algebra in the category of quasi-coherent sheaves.
• Totally acyclic complexes over noetherian schemes
• Existence of Gorenstein projective resolutions and Tate cohomology
• The homotopy category of flat modules, and Grothendieck duality
• A generalization of Auslander's last theorem
• On the homotopy categories of projective and injective representations of quivers
• Rings with several objects
• Localization theory for triangulated categories
• Injective Representations of Infinite Quivers. Applications
• Noetherian quivers
• Gorenstein categories and Tate cohomology on projective schemes
• the stable derived category of a noetherian scheme
• Projective Representations of Quivers #
• Homological and homotopical aspects of torsion theories
• Gorenstein quivers.