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- W2338102605 abstract "Let Q be a strongly locally finite quiver and denote by rep(Q) the category of locally finite dimensional representations of Q over some fixed field k. The main purpose of this paper is to get a better understanding of rep(Q) by means of its Auslander-Reiten quiver. To achieve this goal, we define a category C(Q) which is a full, abelian and Hom-finite subcategory of rep(Q) containing all the almost split sequences of rep(Q). We give a complete description of the Auslander-Reiten quiver of C(Q) by describing its connected components. Finally, we prove that these connected components are also connected components of the Auslander-Reiten quiver of rep(Q). We end the paper by giving a conjecture describing the Auslander-Reiten components of rep(Q) that cannot be obtained as Auslander-Reiten components of C(Q)." @default.
- W2338102605 created "2016-06-24" @default.
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- W2338102605 date "2012-01-23" @default.
- W2338102605 modified "2023-09-27" @default.
- W2338102605 title "Extensions of finitely presented and finitely co-presented representations" @default.
- W2338102605 hasPublicationYear "2012" @default.
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