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 …

Abstract Let A, B and C be artin algebras such that there is a recollement of D (Mod A)
relative to D (Mod B) and D (Mod C). We compare the algebras A, B and C with respect to …

For an abelian category A, we define the category PEx (A) of pullback diagrams of short
exact sequences in A, as a subcategory of the functor category Fun (Δ, A) for a fixed diagram …

We introduce syzygies for derived categories and study their properties. Using these, we
prove the derived invariance of the following classes of artin algebras:(1) syzygy-finite …

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 …

Module categories with infinite radical square zero are of finite type Page 1
COMMUNICATIONS IN ALGEBRA, 22(1 I), 451 1-4517 (1994) MODULE CATEGORIES …

Let Λ be an artin algebra and AA a two-sided idempotent ideal of Λ, that is, AA is the trace of
a projective Λ-module P in Λ. We consider the categories of finitely generated modules over …

Let A and B be Artin algebras and let M be an (A, B)-bimodule with MA and MB finitely
generated. In this paper, we construct tilting pairs of subcategories and Wakamatsu tilting …

We introduce the concept of maximal (n− 1)-orthogonal subcategories over Artin algebras
and orders, and develop (n+ 1)-dimensional Auslander–Reiten theory on them. We give the …

Xiao and Zhu proved that if C is a locally finite triangulated category, then C has Auslander–
Reiten triangles. Let n be a positive integer. The notion of n-abelian categories is a higher …