R. Preusser

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20152022

most citedWeighted Leavitt path algebras -- an overview

2 citations · 2 across the 10 of their papers we have counts for

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math.RA2022

Modules for Leavitt path algebras via extended algebraic branching systems

Raimund Preusser

For a graph $E$ , we introduce the notion of an extended $E$ -algebraic branching system, generalising the notion of an $E$ -algebraic branching system introduced by Gonçalves and Roy…

math.RA2021★ 2 cited

Weighted Leavitt path algebras -- an overview

Raimund Preusser

Weighted Leavitt path algebras were introduced in 2013 by Roozbeh Hazrat. These algebras generalise simultaneously the usual Leavitt path algebras and William Leavitt's algebras $L…

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…