Coherent subcategories of finitely generated $Λ$-modules

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.

No reviews yet.

No comments yet.