2 citations · 2 across the 2 of their papers we have counts for
6 papers
On a conjecture about Morita algebras
Bernhard Boehmler, Rene Marczinzik
We give an example of a Morita algebra with a tilting module such that the algebra has dominant dimension at least two but is not a Morita algebra. This provides…
On the injective dimension of the Jacobson radical
Rene Marczinzik
We conjecture that the injective dimension of the Jacobson radical equals the global dimension for Artin algebras. We provide a proof of this conjecture in case the Artin algebra h…
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…
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…