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 …

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 …

From the viewpoint of higher homological algebra, we introduce pure semisimple n-abelian
categories, which are analogs of pure semisimple abelian categories. Let Λ be an Artin …

Let R be an artin algebra and C an additive subcategory of mod (R). We construct a t-
structure on the homotopy category K−(C) and argue that its heart HC is a natural domain for …

Let A be an Artin algebra. If V∈modA such that the global dimension of End_AV is at most 3,
then for any M∈add_AV, both B and B op are 2-Igusa–Todorov algebras, where …

Let $\Lambda $ be an Artin algebra and ${\mathsf {mod}}\mbox {-}({\underline {\mathsf
{Gprj}}}\mbox {-}\Lambda) $ the category of finitely presented functors over the stable …

248 BAER equivalence of the conditions" A is tame"," P is left noetherian" and" R is left
noetherian", P and R denoting the categories of all preprojective and regular modules …

Let A be an artin algebra and AV be a 2-subgenerator such that End AV is Ω3-
representation-finite. We prove that, for any M∈ add AV, the endomorphism algebra of M is …

For an artin algebra A, denote by mod A the category of finitely generated left A-modules.
For a subcategory V of mod/i closed under direct summands and direct sums, denote by …

In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory
of the category modA of finitely generated A-modules, and which consists of all …