9 citations · 36 across the 47 of their papers we have counts for
6 papers · 1 filter
On the finiteness of the Gorenstein dimension for Artin algebras
Rene Marczinzik
In \cite{SSZ}, the authors proved that an Artin algebra with infinite global dimension has an indecomposable module with infinite projective and infinite injective dimension, g…
On bounds of homological dimensions in Nakayama algebras
Dag Oskar Madsen, Rene Marczinzik
Let be a Nakayama algebra with simple modules and a simple module of even projective dimension . Choose minimal such that a simple -module with projective dim…
On a new formula for the Gorenstein dimension
Rene Marczinzik
Let be a finite dimensional algebra over a field with enveloping algebra . We call algebras that have the property that the subcategory of Goren…
On stable modules that are not Gorenstein projective
Rene Marczinzik
In \cite{AB}, Auslander and Bridger introduced Gorenstein projective modules and only about 40 years after their introduction a finite dimensional algebra was found in \cite{JS…
Auslander-Gorenstein algebras from Serre-formal algebras via replication
Aaron Chan, Osamu Iyama, Rene Marczinzik
We introduce a new family of algebras, called Serre-formal algebras. They are Iwanaga-Gorenstein algebras for which applying any power of the Serre functor on any indecomposable pr…
Finitistic Auslander algebras
Rene Marczinzik
Recently, Chen and Koenig in \cite{CheKoe} and Iyama and Solberg in \cite{IyaSol} independently introduced and characterised algebras with dominant dimension coinciding with the Go…