3 papers
math.RT2025
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…
math.RT2024
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.
math.RT2023
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_…