We solve a long standing open problem concerning the structure of finite cycles in the
category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the …

Having initiated the study of graded Artin algebras A in [91, here we initiate the study of their
representation theory. Our point of view is to study graded/i-modules, which we believe to be …

Throughout, let k be a fixed algebraically closed field. All algebras considered will be finite-
dimensional associative k-algebras with unit element. Given an algebra A, we denote by …

Let A be an artin algebra over a commutative artin ring R, mod A be the category of finitely
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …

arXiv:0909.0330v1 [math.RT] 2 Sep 2009 Derived dimensions of representation-finite algebras
Page 1 arXiv:0909.0330v1 [math.RT] 2 Sep 2009 Derived dimensions of representation-finite …

We rst introduce the notion of an Auslander-Reiten sequence in a Krull-Schmidt category.
This uni es the notion of an almost split sequence in an abelian category and that of an …

Assume that K is an algebraically closed field, R a locally support-finite locally bounded K-
category, G a torsion-free admissible group of K-linear automorphisms of R and A= R/G. We …

In this paper we study the category of finitely generated modules of finite projective
dimension over a class of weakly triangular algebras, which includes the algebras whose …

Let Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …

Generic modules were introduced by Crawley-Boevey in order to provide a better
understanding of finite-dimensional algebras of tame representation type. In fact he has …