… functor categories, having in mind applications to the functor category Mod(mod ), with … the
Auslander–Reiten components of the categories of Koszul functors over a regular Auslander–…

… introduced reflections of quivers and associated reflection functors. Using this, together
with some special modules from [8] inspired by the reflection functors, later known as APR-tilting …

… The category C is said to be hereditary if the Yoneda functor … The following formulation is
appropriate for our purposes: For … X is an equivalence of categories on the coherent sheaves …

… On the other hand an elegant formulation of Serre duality in the bounded derived category,
together with a corresponding Serre functor, was given in [8]. These developments provide …

… lemma, this means that the left and the right part of the equation coincide on IME [M,M] , or
… Our purpose is to relate the Auslander-Reiten translation to the Coxeter-functor, a forerunner …

… a lift of the functor indT → H0(A ) to a functor indT → Z0(A ), … classes of the indecomposables.
We define a T -bimodule by … for the Serre functor of the bounded derived category D = Db(…

… We will use this scheme to give formulas connecting the left-hand and righthand terms of
the Auslander-Reiten sequences in prin(Pv)^ . We follow ideas in [19, Proposition 2.17, …

… such category notions like function field and Euler characteristic, determine its Auslander-Reiten …
We provide a complete classification of hereditary noetherian categories for the case of …

… for the precise formulation and proof of Theorem 2.2 about injective representable functors,
and to … This section contains two results on categories and functors needed in Section 3. The …

… of the basic ideas of Auslander-Reiten's theory, as it applies to these categories. A much more
… By means of the formulae in (3.5), and the fact that the functors Ind, Res, Cnj all commute …