Ren'e Marczinzik

activity

20162026

most citedGendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra

9 citations · 36 across the 47 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.RT2019

On the classification of higher Auslander algebras for Nakayama algebras

Dag Oskar Madsen, Rene Marczinzik, Gjergji Zaimi

We give new improved bounds for the dominant dimension of Nakayama algebras and use those bounds to give a classification of Nakayama algebras with $n$ simple modules that are high…

math.RT2019

Selfextensions of modules for Nakayama and Brauer tree algebras

Rene Marczinzik

For Nakayama algebras $A$ , we prove that in case $E x t_{A}^{1} (M, M) \neq = 0$ for an indecomposable $A$ -module $M$ , we have that the projective dimension of $M$ is infinite. As an applica…

math.RT2019★ 2 cited

On weakly Gorenstein algebras

Rene Marczinzik

We prove that algebras are left weakly Gorenstein in case the subcategory $^{⊥} A \cap Ω^{n} (A)$ is representation-finite. This applies in particular to all monomial algebras and…

math.RT2019

On modules $M$ with $τ (M) ≅ ν Ω^{d + 2} (M)$ for isolated singularities of Krull dimension $d$

Rene Marczinzik

A classical formula for the Auslander-Reiten translate $τ$ says that $τ (M) ≅ ν Ω^{2} (M)$ for every indecomposable module $M$ of a selfinjective Artin algebra. We generalise this by…

On the classification of higher Auslander algebras for Nakayama algebras

Selfextensions of modules for Nakayama and Brauer tree algebras

On weakly Gorenstein algebras

On modules M with τ(M)≅νΩd+2(M) for isolated singularities of Krull dimension d

On modules $M$ with $τ (M) ≅ ν Ω^{d + 2} (M)$ for isolated singularities of Krull dimension $d$