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

Furuzan Ozbek; Pedro Antonio Guil Asensio; Sergio Estrada

arxiv: 1307.7414 · v2 · pith:AW6HUADVnew · submitted 2013-07-28 · 🧮 math.RA

Covering Ideals of Morphisms and Module Representations of the quiver mathbb{A}₂

Sergio Estrada , Pedro Antonio Guil Asensio , Furuzan Ozbek This is my paper

classification 🧮 math.RA

keywords coveringallowsalternativeapproachapproximationconditionscoversdeconstructibility

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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.

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Covering Ideals of Morphisms and Module Representations of the quiver mathbb{A}₂

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