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 …

Using a relative version of Auslander's formula, we show that bounded derived category of
every artin algebra admits a categorical resolution. This, in particular, implies that bounded …

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 …

We clarify the relation between the subcategory D hf b (A) of homological finite objects in D b
(A) and the subcategory K b (P) of perfect complexes in D b (A), by giving two classes of …

We study the global dimensions of the coherent functors over two categories that are linked
by a pair of adjoint functors. This idea is then exploited to compare the representation …

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 …

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 …

ON CONTRAVARIANTLY FINITE SUBCATEGORIES Claus Michael Ringel Abstract. Let A be an
artin algebra. Let / 1, /2 be contravari- ant Page 1 ON CONTRAVARIANTLY FINITE …

By using the stable t-structure induced by an adjoint pair, we extend several results
concerning recollements to upper (resp. lower) recollements. These include the fundamental …

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 …