Des propri\'et\'es de finitude des foncteurs polynomiaux

We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors from a small symmetric monoidal category whose unit is an initial object to an abelian category (notion introduced in this general setting in the work this http URL joint with C. Vespa). We give also an application to functors related to automorphisms of free groups.