Cotorsion theory in the category of quiver representations

H Eshraghi, R Hafezi, E Hosseini… - Journal of Algebra and Its …, 2013 - World Scientific
This note is devoted to the study of cotorsion theory in the category of quiver
representations. Let be a quiver, ξ be a class of representations, and let Vξ denote the class …

[PDF][PDF] Absolutely pure representations of quivers

M Aghasi, H Nemati - Journal of the Korean Mathematical Society, 2014 - researchgate.net
In the current paper we study absolutely pure representations of quivers. Then over some
nice quivers including linear quivers some sufficient conditions guaranteeing a …

Transfinite tree quivers and their representations

E Enochs, S Estrada, S ÖZDEMIR - Mathematica Scandinavica, 2013 - JSTOR
The idea of" vertex at the infinity" naturally appears when studying indecomposable injective
representations of tree quivers. In this paper we formalize this behavior and find the structure …

Kaplansky classes and cotorsion theories of complexes

J Asadollahi, R Hafezi - Communications in Algebra, 2014 - Taylor & Francis
In this article we provide arguments for constructing Kaplansky classes in the category of
complexes out of a Kaplansky class of modules. This leads to several complete cotorsion …