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 …

We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective
dimension. We apply the result to the category algebra of a finite EI category. In particular …

We generalize the monomorphism category from quiver (with monomial relations) to
arbitrary finite dimensional algebras by a homological definition. Given two finite dimension …

We introduce the notion of a perfect path for a monomial algebra. We classify
indecomposable non-projective Gorenstein-projective modules over the given monomial …

In this paper we characterize when the path ring associated to a quiver is Gorenstein (in the
sense of Iwanaga [9]). Then, by using the notion of a Gorenstein category (cf.[2]), we extend …

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 …

Let A be a finite-dimensional k-algebra (associative, with unit) over some fixed algebraically
closed field k. Let mod A be the category of finitely generated left A-modules. With D= Hom k …

We study total acyclicity for complexes of projective and injective representations of quivers.
A classification is given for such complexes in terms of associated vertex-complexes. When …

In this article, we study V-Gorenstein modules relatives to a dualizing module (Enochs et
al.,). These modules constitute a generalization of the well-known Gorenstein modules and …