Let (mod Λ′, mod Λ, mod Λ ″) be a recollement of module categories for artin algebras
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …

In several branches of representation theory, the existence of Auslander-Reiten sequences
has led to new structural insights. for example, in the module theory of artinian algebras [11 …

Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

Introduction. Throughout this paper A denotes a fixed artin algebra, and rad (rood A)
denotes the Jacobson radical of mod A, the category of finitely generated left A-modules …

FA is an oriented graph (quiver), the points of FA are the isomorphism classes[M] for M
indecomposable A-module, we put an arrow from[M] to IN] if there exists an irreducible map …

We study necessary and sufficient conditions for the existence of n irreducible morphisms in
the bounded derived category of an Artin algebra, with non-zero composite in the n+ 1 …

Let A be an artin algebra, mod A the category of finitely generated right A-modules, rad"(mod
A) the infinite radical of mod A and IT, the Auslander–Reiten quiver of A. Following [32] an …

Throughout this paper modA denotes the category of finitely generated A-modules over an
artin algebra A. We say that a covariant or contravariant functor F from modA to abelian …

We consider Λ Λ an artin algebra and n ≥ 2 n≥ 2. We study how to compute the left and
right degrees of irreducible morphisms between complexes in a generalized standard …

If A is an artin algebra, the Auslander-Reiten quiver of A, denoted by F= F (A), is defined in
the following way: the vertices of F (A) are the isomorphism classes [M] of indecomposable …