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Coherent subcategories of finitely generated $��$-modules

Authors :
Marcos, E. N.
Mendoza, O.
S��enz, C.
Santiago, V.
Publication Year :
2016
Publisher :
arXiv, 2016.

Abstract

We explore some properties of wide subcategories of the category mod$\,(��)$ of finitely generated left $��$-modules, for some artin algebra $��.$ 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$\,(��),$ we give necessary and sufficient conditions to see that $\mathcal{X}=\mathrm{pres}\,(P),$ for some projective $��$-module $P;$ and finally, a connection with ring epimorphisms is given.<br />14 pages, 2 figures

Details

Database :
OpenAIRE
Accession number :
edsair.doi...........9ab936745fa569b80b07bb651f493aa9
Full Text :
https://doi.org/10.48550/arxiv.1601.05023