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arXiv · 1601.05023

Coherent subcategories of finitely generated $Λ$-modules

E. N. Marcos·O. Mendoza·C. Sáenz·V. Santiago
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Abstract

We explore some properties of wide subcategories of the category mod$\,(Λ)$ of finitely generated left $Λ$-modules, for some artin algebra $Λ.$ In particular we look at wide finitely generated subcategories and give a connection with the class of standard modules and standardly stratified algebras. Furthermore, for a wide class $\mathcal{X}$ in mod$\,(Λ),$ we give necessary and sufficient conditions to see that $\mathcal{X}=\mathrm{pres}\,(P),$ for some projective $Λ$-module $P;$ and finally, a connection with ring epimorphisms is given.

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E. N. Marcos, O. Mendoza, C. Sáenz, V. Santiago. 2016-08-16. Coherent subcategories of finitely generated $Λ$-modules. https://arxiv.org/abs/1601.05023

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