17 citations · 23 across the 21 of their papers we have counts for
27 papers
The general linear groupoid of a Leavitt path algebra
Raimund Preusser
The general linear groupoid of a Leavitt path algebra is isomorphic to the groupoid whose objects are all -modules of the form $\bigoplus_{i=1}^n v_…
On the identity component of a strongly graded ring - with applications to graph algebras
Raimund Preusser
Let be a group, a commutative ring and a strongly -graded -algebra with a given homogeneous presentation. We show that the identity component can be obtaine…
Moves for Bergman algebras
Raimund Preusser
We define Bergman presentations and Bergman algebras associated to Bergman presentations. These algebras embrace various generalisations of Leavitt path algebras. A Bergman present…
Bergman algebras: The graded universal algebra constructions
Roozbeh Hazrat, Huanhuan Li, Raimund Preusser
A half a century ago, George Bergman introduced stunning machinery which would realise any commutative conical monoid as the non-stable -theory of a ring. The ring constructed i…
Modules for Leavitt path algebras of bi-separated graphs via representations graphs
Raimund Preusser
Leavitt path algebras of bi-separated graphs have been recently introduced by R. Mohan and B. Suhas. These algebras provide a common framework for studying various generalisations…
Modules for Leavitt path algebras via extended algebraic branching systems
Raimund Preusser
For a graph , we introduce the notion of an extended -algebraic branching system, generalising the notion of an -algebraic branching system introduced by Gonçalves and Roy…