2 citations · 2 across the 8 of their papers we have counts for
18 papers · 1 filter
On total stability conditions for Dynkin quivers
Rene Marczinzik
We show that for a Dynkin quiver of type with a specific orientation, the path algebra has no slope function of the form that defines a total stabil…
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…
Distributive lattices and Auslander regular algebras
Osamu Iyama, Rene Marczinzik
Let denote a finite lattice with at least two points and let denote the incidence algebra of . We prove that is distributive if and only if is an Auslander regul…