9 citations · 36 across the 47 of their papers we have counts for
5 papers · 1 filter
A new characterisation of quasi-hereditary Nakayama algebras and applications
René Marczinzik, Emre Sen
We call a finite dimensional algebra A S-connected if the projective dimensions of the simple A-modules form an interval. We prove that a Nakayama algebra A is S-connected if and o…
On the extension-closed property for the subcategory
Bernhard Böhmler, René Marczinzik
We present a monomial quiver algebra having the property that the subcategory is not extension-closed. This answers a question raised by Idun Reit…
On properly stratified Gorenstein algebras
Tiago Cruz, René Marczinzik
We show that a properly stratified algebra is Gorenstein if and only if the characteristic tilting module coincides with the characteristic cotilting module. We further show that p…
A Cluster tilting module for a representation-infinite block of a group algebra
Bernhard Böhmler, Rene Marczinzik
Let be the special linear group of -matrices with coefficients in the field with elements. We show that the principal block over a splitting field o…
Existence of a 2-cluster tilting module does not imply finite complexity
René Marczinzik, Laertis Vaso
We give an example of a finite-dimensional algebra with a 2-cluster tilting module and a simple module which has infinite complexity. This answers a question of Erdmann and Holm.