Categories of quiver representations and relative cotorsion pairs

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Representations of quivers and partially ordered sets (16G20) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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Irreducible morphisms and locally finite dimensional representations
Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
Strongly simply connected algebras
Convex subquivers and the finitistic dimension
Completeness of the induced cotorsion pairs in categories of quiver representations
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
Cotorsion pairs in categories of quiver representations
Rings with several objects
On the Auslander-Reiten quiver of the representations of an infinite quiver.
Triangulated Categories
Noetherian hereditary abelian categories satisfying Serre duality
Total Acyclicity for Complexes of Representations of Quivers
Note on Relative Homological Dimension
A Homotopy of Quiver Morphisms with Applications to Representations
On the representation type of tensor product algebras
Almost split sequences in categories of representations of quivers
Flat Covers and Flat Representations of Quivers
Set Theory
Representation theory of strongly locally finite quivers
THE YONEDA EXT AND ARBITRARY COPRODUCTS IN ABELIAN CATEGORIES
On the Dimension of Modules and Algebras, VIII. Dimension of Tensor Products
Projective Representations of Quivers #
Persistence modules on commutative ladders of finite type
Relative tilting theory in abelian categories. I: Auslander-Buchweitz-Reiten approximations theory in subcategories and cotorsion-like pairs

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