4 papers · 1 filter
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 homogeneous zero components of Leavitt algebras
Raimund Preusser
We prove that the zero component of a Leavitt algebra with respect to the canonical grading is a direct limit , where each algebra $…
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…