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

Sergio Estrada; Pedro Antonio Guil Asensio; Furuzan Ozbek

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arXiv · 1307.7414

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

Sergio Estrada·Pedro Antonio Guil Asensio·Furuzan Ozbek

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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.

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Sergio Estrada, Pedro Antonio Guil Asensio, Furuzan Ozbek. 2013-08-04. Covering Ideals of Morphisms and Module Representations of the quiver $\mathbb{A}_2$. https://arxiv.org/abs/1307.7414

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