We will only assume some basic knowledge in module theory and category theory. In
particular, we will use the following notions that can be found in any textbook on modules or …

Let m, n be positive integers such that m⩽ n and k be a field. We consider all pairs (B, A)
where B is a finite dimensional Tn-bounded k [T]-module and A is a submodule of B which is …

Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …

MODULES DETERMINED BY THEIR TOPS AND SOCLES Page 1 proceedings of the
american mathematical society Volume %. Number 1. lanuary 19H6 MODULES DETERMINED …

This textbook is designed to introduce the reader to the Representation Theory of Algebras
as painlessly as possible. It concentrates on the Auslander–Reiten theory, the radical of a …

We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …

Let t be a field and a finite dimensional t-algebra. Auslander-Reiten sequences [AR] play a
fundamental rôle in the representation theory of; in particular, they can be used to construct …

The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this
paper we introduce the category mo d adm (E) of admissibly finitely presented functors and …

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 …

Let Λ be an artin algebra. In his seminal Philadelphia Notes published in 1978, Auslander
introduced the concept of morphisms being determined by modules. Auslander was very …