Modules for Leavitt path algebras via extended algebraic branching systems
Rings and Algebras
2022-10-31 v1 Representation Theory
Abstract
For a graph , we introduce the notion of an extended -algebraic branching system, generalising the notion of an -algebraic branching system introduced by Gon\c{c}alves and Royer. We classify the extended -algebraic branching systems and show that they induce modules for the corresponding Leavitt path algebra . Among these modules we find a class of nonsimple modules whose endomorphism rings are fields.
Cite
@article{arxiv.2210.16252,
title = {Modules for Leavitt path algebras via extended algebraic branching systems},
author = {Raimund Preusser},
journal= {arXiv preprint arXiv:2210.16252},
year = {2022}
}