9 citations · 36 across the 47 of their papers we have counts for
61 papers
Nonvanishing of cohomology for groups
Tiago Cruz, Rene Marczinzik
Let be a finite group. We prove that the order of the abelianization divides the order of for every . As a consequence, for a field , n…
A counterexample to Köthe's conjecture and a question of Rowen
Tom Adamczewski, Bernhard Böhmler, Rene Marczinzik
We construct a counterexample to Köthe's conjecture and use this to also answer a question due to Rowen.
A new characterisation of Auslander-Gorenstein algebras
Viktória Klász, Markus Kleinau, Rene Marczinzik +1
We give a new characterisation of Auslander-Gorenstein finite dimensional algebras by showing that they are exactly the finite dimensional algebras with a well-defined Auslander-Re…
Tor and Ext vanishing results for commutative Artinian rings
Bernhard Böhmler, Rene Marczinzik
We give a negative answer to a question of Avramov, Buchweitz and Şega by constructing a commutative local finite-dimensional non-Gorenstein algebra with $\operatorname{Ext}_R^…
Preprojective algebras and generalisations: A short survey
Aaron Chan, Osamu Iyama, Rene Marczinzik
The preprojective algebra of a hereditary algebra can be defined as a certain orbit construction of the regular representation generated by the Auslander-Reiten translation. In…
Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
Finn Bauwens, Norihiro Hanihara, René Marczinzik +2
For a finite dimensional algebra of finite global dimension we study the Auslander--Yoneda algebra defined as the Yoneda algebra of the direct sum of all indecomposable -mod…