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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., 14 pages, 2 figures

We study the behaviour of the Igusa-Todorov functions for radical square zero algebras. We show that the left and the right $\phi$-dimensions coincide, in this case. Some general results are given, but we concentrate more in the radical square zero algebras. Our study is based on two notions of hearth and member of a quiver $Q$. We give some bounds for the $\phi$ and the $\psi$-dimensions and we describe the algebras for which the bound of $\psi$ is obtained. We also exhibit modules for which the $\phi$-dimension is realised.