The Auslander–Reiten Formula on Finitely Presented Functor Categories | SpringerLink Skip to
main content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search …

We know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …

Using a relative version of Auslander's formula, we give a functorial approach to show that
the bounded derived category of every Artin algebra admits a categorical resolution. This, in …

We introduce several classes of subcategories of module categories of artin algebras, and
show that these classes of subcategories can be controlled by the poset of torsion classes in …

Let A be an artin algebra and e be an idempotent ideal of A. Then there is a recollement of
mod A relative to mod A/A e A and mod e A e. In this paper, we study some properties of Lat …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

Abstract Recently, Wang, Wei and Zhang introduced the notion of recollements of
extriangulated categories. In this paper, let (A, B, C) be a recollement of extriangulated …

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 …

Auslander-Reiten duality for module categories is generalized to some sufficiently nice
subcategories. In particular, our consideration works for $\mathcal {P}^{<\infty}(\Lambda) …

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 …