Locally $\kappa$-presented representation of quiver

Document Type : Research Paper


Department of Pure Mathematics Faculty of Mathematical Sciences, University of Guilan P. O. Box 41335-19141, Rasht, Iran


In this paper, we focus on the concept of locally $\kappa$-presented representations of quiver and we introduce two classes of objects of representations of the quiver on certain Grothendieck category related to this concept which forms a complete cotorsion pair.