… or injective module. Since TA is locally finite and contains only finitely many projective and
finitely many injective modules, we conclude that the union of all finite connected components …

… has enough injectives, so that every F R -module has an injective resolution in this category.
… of finite type over an F-finite regular local ring, the category of F-modules has finite global …

… We are also very much interested in the problem how to distinguish the representation types
of algebras A (finite type, domestic, polynomial growth, tame, wild) by properties of cycles in …

… additive category A to be of locally finite representation type if every finitely presented object
of A is of finite endolength, … module category Mod T over some ring T, then we say that the …

… pure semisimple category which has only finitely many isomorphism types of simple objects
is equivalent to the category of all left modules over a ring of finite representation type. We …

… It would be also interesting to know how to distinguish the representation types of A (finite
type, polynomial growth, tame, wild) by the behaviour of the connected components of TA in …

… are sheaves of sets in the Nisnevich topology on smooth schemes of finite type over a fixed
base scheme. The weak equivalences are the A 1 -local equivalences—roughly speaking …

… By an A-module we mean a finitely generated, right A-module. We denote by modA the
category of all A-modules, by indA the full subcategory of modA … In a forthcoming paper [CMMS] …

… In Chapters 23 and 24, we study Morita's duality theory for a category mod-A of right A-modules.
Dual to the idea of equivalence is that of a duality CD between categories: namely, TS≈ …

… In Section 3, we prove the Cauchy theorem for spherical fusion categories and rank-finiteness
for modular categories, as well as for modularizable premodular categories. In Section 4, …