R. Preusser

activity

20152026

most citedApplications of normal forms for weighted Leavitt path algebras: simple rings and domains

17 citations · 23 across the 21 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.RA2019

On general linear groups over exchange rings

Raimund Preusser

Let $R$ be an exchange ring. We prove that the relative elementary subgroups $E_{n} (R, I)$ are normal in the general linear group $G L_{n} (R)$ if $n \geq 1$ and that the standard commutat…

math.RA2019

Reverse decomposition of unipotents over noncommutative rings I: General linear groups

Raimund Preusser

Recently is has been proved that if $σ \in G L_{n} (R)$ where $R$ is an commutative ring and $n \geq 3$ , then each of the elementary transvections $t_{k l} (σ_{ij}) (i \neq = j, k \neq = l)$ is a…

math.RA2019

Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt path algebras

Raimund Preusser

Let $K$ be a field. We characterise the row-finite weighted graphs $(E, w)$ such that the weighted Leavitt path algebra $L_{K} (E, w)$ is isomorphic to an unweighted Leavitt path algebr…

math.RA2019

Leavitt path algebras of hypergraphs

Raimund Preusser

We define Leavitt path algebras of hypergraphs generalizing simultaneously Leavitt path algebras of finitely separated graphs and Leavitt path algebras of row-finite vertex-weighte…