4 papers · 1 filter
Pure minimal injective resolutions and perfect modules for lattices
Tal Gottesman, Viktória Klász, Markus Kleinau +1
In a recent article, Iyama and Marczinzik showed that a lattice is distributive if and only if the incidence algebra is Auslander regular, giving a new connection between homologic…
The Auslander-Gorenstein condition for monomial algebras
Viktória Klász
This paper investigates the Auslander-Gorenstein property for monomial algebras. First, we prove that every Auslander-Gorenstein monomial algebra is a string algebra and present a…
Nakayama algebras of small homological dimension and pattern avoiding permutations
Viktória Klász, René Marczinzik, Judith Marquardt
We give a combinatorial classification of Nakayama algebras of small homological dimension using the Krattenthaler bijection between Dyck paths and 132-avoiding permutations.
Selfextensions of modules over group algebras
Bernhard Böhmler, Karin Erdmann, Viktória Klász +1
Let be a group algebra with a finite group and a field and an indecomposable -module. We pose the question, whether implies that $Ext_…