Flat Covers and Flat Representations of Quivers

DOI10.1081/AGB-120028784zbMath1063.16017MaRDI QIDQ4678727

Luis Oyonarte, Edgar E. Enochs, Blass Torrecillas Jover

Publication date: 23 May 2005

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

zbMATH Keywords

flat coverspure submodulescotorsion theoriesrepresentations of quiverscotorsion envelopesfinitely generated projective representationsrooted quivers

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Representations of quivers and partially ordered sets (16G20)

Related Items (21)

Some infinitely generated non-projective modules over path algebras and their extensions under Martin's axiom ⋮ Model structures on the category of complexes of quiver representations ⋮ Injective representations of bound quiver algebras ⋮ On the homotopy categories of projective and injective representations of quivers ⋮ Sheaves over infinite posets ⋮ Abelian model structures on categories of quiver representations ⋮ Covering ideals of morphisms and module representations of the quiver \(\mathbb A_2\). ⋮ Unnamed Item ⋮ Projective Representations of Quivers # ⋮ Completeness of the induced cotorsion pairs in categories of quiver representations ⋮ On envelopes and covers in the category of short exact sequences ⋮ COTORSION THEORY IN THE CATEGORY OF QUIVER REPRESENTATIONS ⋮ Monomial Algebras over Infinite Quivers. Applications toN-Complexes of Modules ⋮ Cotorsion pairs in categories of quiver representations ⋮ Gorenstein flat representations of left rooted quivers ⋮ Representations of the generalized Kronecker quiver with countably many arrows ⋮ Injective Covers and Envelopes of Representations of Linear Quivers ⋮ Rings described by some special morphisms of modules ⋮ Constructions of Frobenius pairs in abelian categories ⋮ Representation dimension of generalized path algebras of cyclic quivers ⋮ Minimal injective resolutions and Auslander-Gorenstein property for path algebras

Cites Work

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• Rings with several objects
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• Über injektive Moduln
• Flat covers and cotorsion envelopes of sheaves
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• A Homotopy of Quiver Morphisms with Applications to Representations
• Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications

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