Injective Representations of Infinite Quivers. Applications

DOI10.4153/CJM-2009-016-2zbMath1229.16012arXivmath/0702793OpenAlexW2025198989WikidataQ114021676 ScholiaQ114021676MaRDI QIDQ3624533

Edgar E. Enochs, Sergio Estrada, J. R. García Rozas

Publication date: 30 April 2009

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702793

zbMATH Keywords

representations of quiverscategories of representationsGorenstein flat representationsGorenstein injective representationsGorenstein projective representationsindecomposable injective representationslocal properties of representations

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of quivers and partially ordered sets (16G20)

Related Items (21)

Constructing cotorsion pairs over generalized path algebras ⋮ Model structures on the category of complexes of quiver representations ⋮ Coherent quivers ⋮ Injective representations of bound quiver algebras ⋮ Categories of modules, comodules and contramodules over representations ⋮ Injective tree representations ⋮ Sheaves over infinite posets ⋮ Homotopy category of \(N\)-complexes of projective modules ⋮ 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 ⋮ THE AUSLANDER–REITEN TRANSLATION IN MORPHISM CATEGORIES ⋮ COTORSION THEORY IN THE CATEGORY OF QUIVER REPRESENTATIONS ⋮ Cotorsion pairs in categories of quiver representations ⋮ 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 ⋮ Total Acyclicity for Complexes of Representations of Quivers ⋮ EXISTENCE OF ALMOST SPLIT SEQUENCES VIA REGULAR SEQUENCES ⋮ Representation dimension of generalized path algebras of cyclic quivers ⋮ Minimal injective resolutions and Auslander-Gorenstein property for path algebras

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