Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

We investigate for an artin algebra Λ when categories of dth syzygy modules are closed
under extensions. In this case they are functorially finite resolving, and have an associated …

We study Morita rings Λ (ϕ, ψ)= AANBBMAB Λ_(ϕ,ψ)=\left(A&_AN_B\_BM_A&B) in the
context of Artin algebras from various perspectives. First we study covariantly finite …

Given an artin algebra $\Lambda $ with an idempotent element $ a $ we compare the
algebras $\Lambda $ and $ a\Lambda a $ with respect to Gorensteinness, singularity …

Let $\Lambda $ be an artin algebra, let $\bmod\Lambda $ be the category of finitely
generated $\Lambda-{\text {modules}} $, and let $ p {d_1}\bmod\Lambda $ be the …

Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

Throughout this paper we assume that K is a field. Given a K-algebra A we denote by mod
(A) the category of finitely generated right A-modules and by fin (A) the full subcategory of …

Let Λ and Γ be artin algebras and T:= Λ M 0 Γ the triangular matrix algebra with M a finitely
generated (Λ, Γ)-bimodule. We construct support τ-tilting modules and (τ-) tilting modules in …

This is a report on advances in the representation theory of finite dimensional algebras in
the years 1984–1990. During these years, the German research council (DFG) has …

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 …