… category can be embeded in a functor category, so that we often obtain our desired properties
in the original category by studying the associated functor categories… covers ( T -envelopes…

… B 5 category with a generator has an injective envelope. From … in the functor category (C,
03) (a, Y3 abelian categories) are … Then the functor category (a', & ) in this case is just the …

… category Bα(C) and a chain of categories and functors C → B(C… Calling the rigid tensor
envelope B(C) the Brauer category of … category, see [BCNR17] for an exposition, is a special case …

… We also study tensor functors between Verlinde categories … In the simplest cases, when
the classification of … of Tannakian categories in characteristic zero, reductive envelopes of …

… pseudo-abelian envelope of the localization of the homotopy category 7ib(SmCor(k… case.
For a field k which admits resolution of singularities we will also show that the canonical functor …

… In this section, we shall recall some known notions and definitions which we need in the …
and a -cover (with the unique mapping property). -envelopes (-covers) may not exist in …

… that such filtrations lead in certain cases to a complete classification of the … use the following
facts about functors between locally coherent categories. … : M ª E be an injective envelope. If …

… of a module category into a bigger functor category. These … The special case of a tube in
the Auslander–Reiten quiver is … description of the injective envelopes of simple functors in …

… determine all derived functors of torsion and cotorsion. In the case the injective envelope
of the … and viewed as a functor from the category of all modules to the category of torsion-free …

… envelopes of symmetric rigid monoidal Karoubian categories … this case we will use the term
Karoubian monoidal category. … , by a tensor functor we will mean an exact monoidal functor …