9 citations · 36 across the 47 of their papers we have counts for
10 papers · 1 filter
Pure minimal injective resolutions and perfect modules for lattices
Tal Gottesman, Viktória Klász, Markus Kleinau +1
In a recent article, Iyama and Marczinzik showed that a lattice is distributive if and only if the incidence algebra is Auslander regular, giving a new connection between homologic…
On a question of Auslander and Bridger on 2-reflexive modules
Rene Marczinzik
We answer a question raised by Auslander and Bridger by showing that not every 2-reflexive module is reflexive.
A survey on Auslander-Gorenstein algebras
Viktória Klász, Rene Marczinzik
We give a survey on Auslander-Gorenstein algebras with a focus on finite-dimensional algebras. We put an emphasis on recent classification results for special classes of algebras a…
A new formula for the classical dominant dimension using bimodules
Tiago Cruz, René Marczinzik
We show that a faithful projective-injective module over a finite-dimensional algebra has the double centraliser property if and only if as a bimodule is reflexive. More ge…
Rowmotion and Echelonmotion
Colin Defant, Yuhan Jiang, Rene Marczinzik +4
Given a linear extension of a finite poset , we consider the permutation matrix indexing the Schubert cell containing the Cartan matrix of with respect to . This yiel…
Cluster tilting modules for local algebras
Rene Marczinzik, Daniel Owens
We give the first example of a non-trivial cluster tilting module in a local finite dimensional algebra. To do this, we give an explicit calculation of the corresponding higher Aus…