We study Artin algebras Λ and commutative Noetherian complete local rings R in connection
with the following decomposition property of Gorenstein-projective modules: We show that …

Let k be a field. We consider triples (V, U, T), where V is a finite dimensional k-space, U a
subspace of V and T: V→ V a linear operator with Tn= 0 for some n, and such that T (U) U …

The monomorphism category S n (X) is introduced, where X is a full subcategory of the
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …

Let be an Artin algebra. Under suitable conditions, we describe all the modules in⊥ Λ, and
obtain criteria for the Gorensteinness of Λ. As applications, we determine explicitly all the …

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 paper looks for Frobenius subcategories, via the separated monomorphism category
$\operatorname {smon}(Q, I,\mathscr {X}) $, and on the other hand, aims to establish an RSS …

We show a surprising link between singularity theory and the invariant subspace problem of
nilpotent operators as recently studied by CM Ringel and M. Schmidmeier, a problem with a …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

We determine all the Gorenstein-projective modules over the T2-extension of a Gorenstein
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …