3 citations · 4 across the 6 of their papers we have counts for
6 papers
Higher torsion-free Auslander-Reiten sequences and the dominant dimension of algebras
Tiago Cruz, René Marczinzik
We generalise a theorem of Tachikawa about reflexive Auslander-Reiten sequences. We apply this to give a new characterisation of the dominant dimension of gendo-symmetric algebras.…
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_…
On self-orthogonal modules in Iwanaga-Gorenstein rings
Rene Marczinzik
Let be an Iwanaga-Gorenstein ring. Enomoto conjectured that a self-orthogonal -module has finite projective dimension. We prove this conjecture for having the property t…
Auslander-Gorenstein algebras, standardly stratified algebras and dominant dimensions
Rene Marczinzik
We give new properties of algebras with finite Gorenstein dimension coinciding with the dominant dimension , which are called Auslander-Gorenstein algebras in the recent wo…
On representation-finite gendo-symmetric biserial algebras
Aaron Chan, Rene Marczinzik
Gendo-symmetric algebras were introduced by Fang and Koenig as a generalisation of symmetric algebras. Namely, they are endomorphism rings of generators over a symmetric algebra. T…