The representations of a quiver Q over a field k (the kQ-modules, where kQ is the path
algebra of Q over k) have been studied for a long time, and one knows quite well the …

The representations of a quiver Q over a field k have been studied for a long time. It seems
to be worthwhile to consider also representations of Q over arbitrary finite-dimensional k …

For a finite acyclic quiver Q, an ideal I of a path algebra kQ generated by monomial relations,
and a finite-dimensional k-algebra A, we introduce the separated monic representations of a …

Given a finite-dimensional algebra A over a field k, and a finite acyclic quiver Q, let Λ= A⊗ k
kQ, where kQ is the path algebra of Q over k. Then the category Λ-mod of Λ-modules is …

This book is an introduction to the representation theory of quivers and finite dimensional
algebras. It gives a thorough and modern treatment of the algebraic approach based on …

The preprojective algebra Pk (Q) of a quiver Q plays an important role in mathematics. We
are going to present some descriptions of these algebras and their module categories which …

Let Q be a finite quiver with vertex set I and arrow set Q1, ka field, and kQ its path algebra
with its standard grading. This paper proves some category equivalences involving the …

This textbook is an introduction to the representation theory of finite-dimensional algebras
with a strong emphasis on quivers and their representations. The book is intended to be …

Let C be a small category and ka field. There are two interesting mathematical subjects: the
category algebra kC and the classifying space| C|= BC. We study the ring homomorphism …

We apply previous techniques on infinite quivers to describe projective and injective
modules over a monomial algebra Λ= RQ/I (where R is any arbitrary ring with identity). Then …