… of the underlying category of … irreducible morphisms from X to X if X is an indecomposable
complex. In case Λ is a selfinjective Artin algebra we show that for every irreducible morphism …

… of these in the same derived equivalence class (see [23]). For these sorts of derived
categories, we study conditions under which the composite of two irreducible morphisms between …

… of irreducible morphisms of complexes characterizes also some class of irreducible morphisms
of the derived category … a non-split bounded, smonic or sepic morphism of complexes can …

… authors of this work studied the degree of irreducible morphisms in C n ( proj A ) , whenever
… of an irreducible morphism f : X → Y belongs to C n ( proj A ) and the inclusion morphism j : …

… }\,\Lambda )}\) is a non-zero morphism in the fourth power of the radical. We apply such …
irreducible morphisms between indecomposable complexes in the bounded derived category of …

… categories preserves irreducible morphisms and almost splits sequences. Specializing to
derived categories, … precovering between the bounded derived categories of finite dimensional …

… are forced to deal with the derived category of right bounded complexes (in order to define
the left … In order to consider the category of triples TCA we have to consider morphisms in the …

… bounded derived category of a finite dimensional algebra to have Euclidean tree class by
classifying certain types of irreducible … to calculate the morphisms in the derived category of A…

… to the Albanese morphism of X. As an application, we get that bounded derived categories
of … T an irreducible algebraic variety over С, and there exists a point t0 ∈ T such that Bs|ωXt0 …

… = the derived category of complexes of etaIe R-sheaves having bounded constructible …
U if necessary we may assume that MU'NU U is irreducible and there exists a smooth affine …