We find sufficient and necessary conditions for the category of Gorenstein projective
modules of an artin algebra being an abelian category, and give another proof for the …

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 …

We generalize Brenner and Butler's Theorem as well as Happel's Theorem on the
equivalences induced by a finitely generated tilting module over Artin algebras, to the case …

Let R be an artin algebra. We prove that a tilting R-module ω is cotilting if and only if every
finitely generated R-module has finite ω-Gorenstein resolution dimension and that a cotilting …

Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …

Text of a (pre-dinner) lecture at the Bielefeld workshop" Discrete Categories in
Representation Theory", April 20-21, 2018. This workshop was organized in order to …

Abstract Auslander and Smalø (Auslander, M., Smalø, SO (1980). Preprojective modules
over artin algebras. J. Algebra 66: 61–122) introduced and studied extensively preprojective …

On Sectional Paths in a Category of Complexes of Fixed Size Page 1 Algebr Represent Theor
(2017) 20:289–311 DOI 10.1007/s10468-016-9643-2 On Sectional Paths in a Category of …

Let Λ be an Artin algebra over a commutative Artin ring R and let modΛ be the category of
finitely generated left Λ-modules. For a module M∈ modΛ, we denote by pdΛ M the …

The left part LA of the module category of an artin algebra A consists of all indecomposables
whose predecessors have projective dimension at most one. In this paper, we study the …