Covering Ideals of Morphisms and Module Representations of the quiver ${\mathbb{A}}_2$

Abstract

Sufficient conditions for an ideal $\mathcal{I}$ in $R\Mod$ to be covering are proved. This allows to obtain an alternative proof of the existence of phantom covers of modules. Our approach is inspired by an extension of the standard deconstructibility techniques used in Approximation Theory.

References in corpus (2)

• Phantom Maps and Homology Theories
• Precovering and preenveloping ideals