3 papers
math.RA2024
Graded isomorphisms of Leavitt path algebras and Leavitt inverse semigroups
Huanhuan Li, Zongchao Li, Zhengpan Wang
Leavitt inverse semigroups of directed finite graphs are related to Leavitt graph algebras of (directed) graphs. Leavitt path algebras of graphs have the natural -gradin…
math.RA2024
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…
math.RT2016
The projective Leavitt complex
Huanhuan Li
Let Q be a finite quiver without sources, and A be the corresponding algebra with radical square zero. We construct an explicit compact generator for the homotopy category of acycl…