Let modA be the category of finitely generated right A-modules over an artin algebra⋀, and F
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …

Let $\Lambda $ be an Artin algebra and let $ e $ be an idempotent in $\Lambda $. We study
certain functors which preserve the singularity categories. Suppose $\operatorname …

Let Λ be an artin algebra (this means that Λ is a module-finite k-algebra, where k is an
artinian commutative ring). The modules to be considered will be left Λ-modules of finite …

In this paper, we introduce and study a class of algebras which we call ada algebras. An
artin algebra is ada if every indecomposable projective and every indecomposable injective …

Let Λ be an Artin algebra with a unique non-injective indecomposable projective module. In
this situation, Marczinzik conjectured that the dominant dimension of Λ agrees with its …

An additive category with direct limits is said to be locally finitely presented provided that the
full subcategory of finitely presented objects is skeletally small and every object is a direct …

An Artin algebra is by definition virtually Gorenstein if the class of modules which are right
orthogonal (with respect to $\operatorname {Ext}^*(-,-) $) to all Gorenstein projective …

On Sectional Paths in a Category of Complexes of Fixed Size Page 1 Algebr Represent Theor
(2017) 20:289–311 DOI 10.1007/s10468-016-9643-2 On Sectional Paths in a Category of …

We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …

We study Auslander correspondence from the viewpoint of higher-dimensional analogue of
Auslander–Reiten theory [O. Iyama, Higher dimensional Auslander–Reiten theory on …