9 citations · 36 across the 47 of their papers we have counts for
8 papers · 2 filters
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…
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…
An Auslander-Buchsbaum formula for higher Auslander algebras and applications
Tiago Cruz, René Marczinzik
We provide a new non-commutative generalisation of the Auslander-Buchsbaum formula for higher Auslander algebras and use this to show that the class of tilted Auslander algebras, s…
Total preprojective algebras
Aaron Chan, Osamu Iyama, Rene Marczinzik
We introduce total preprojective algebras of path algebras of Dynkin quivers , and prove that they are isomorphic to -Auslander algebras of preprojective algebras of…
Auslander regular algebras and Coxeter matrices
Viktória Klász, Rene Marczinzik, Hugh Thomas
We show that Iyama's grade bijection for Auslander-Gorenstein algebras coincides with the bijection introduced by Auslander-Reiten. This result uses a new characterisation of Ausla…