… Except where stated, all modules are left modules. We write A-mod for the category of nite-dimensional
A-modules, and A-Mod for the category of all A-modules. (Many of the results …

… We denote by Mg the category of complete topological left £-modules, whose topology is
linear and has a base of neighbourhoods of zero consisting of all submodules of finite colength. …

… was when the category of finitely generated modules over an artin algebra is of finite type,
that is, when the set of isomorphism classes of its indecomposable objects is finite, and in …

… We denote by (Mod Fl/@)zp the category of finite free 6 modules 9Jt equipped with a 0-…
restriction to any closed subscheme of finite type is very ample [Fa, p. 42-43]. Thus c&3lyf? …

… In Section 2 we collect more or less known facts allowing to reduce computations to a set of
finite discrete data in case of a finite type algebra. We explain how modules are represented …

… We will say that a module category M over C is of type I if M is module … the module category
M) and M is of type II otherwise (this is just a translation to the language of module categories …

… of modules which have a filtration by Weyl modules is of major interest. In this paper we …
categories corresponding to blocks of Schur algebras which are of finite representation type. …

… For a natural number 𝑘, we prove that the class of modules of projective dimension
bounded by 𝑘 is of finite type if and only if 𝑅 satisfies Serre’s condition (𝑆𝑘). In particular, this …

… We then have the map π : Spec L → Spec K, where K/k is a field extension of finite type
over k, and by going to the Galois cover L one can assume π is Galois with Galois group G. If …

… ModR be the category of all R-modules. If M is an R-module, we define ab M as the smallest
exact abelian subcategoryFootnote 2 of the category ModR of all R-modules which contains …