In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

For a certain Wakamatsu-tilting bimodule over two artin algebras $ A $ and $ B $,
Wakamatsu constructed an explicit equivalence between the stable module categories over …

We consider functorially finite subcategories in module categories over Artin algebras. One
main result provides a method, in the setup of bounded derived categories, to compute …

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

Let A be an artin algebra of finite CM-type. In this paper, we show that if A is virtually
Gorenstein, then the homotopy category of Gorenstein projective A- modules, denote K(A …

Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …

We introduce a notion of generalized Serre duality on a Hom-finite Krull–Schmidt
triangulated category T. This duality induces the generalized Serre functor on T, which is a …

Let Λ be a ℤ-graded artin algebra. It is proved that the category of graded Λ-modules is pure-
semisimple if and only if there are only finitely many nonisomorphic indecomposable finitely …

This is a generalization of some results of Ma-Sauter from module categories over artin
algebras to more general functor categories (and partly to exact categories). In particular, we …

A notion of mutation pairs of subcategories in an abelian category is defined in this article.
For an extension closed subcategory 𝒵 and a rigid subcategory 𝒟⊂ 𝒵, the subfactor …