A survey of some of the recent developments in Leavitt path algebras
Rings and Algebras
2018-08-15 v1
Abstract
This survey of the recent developments in the investigations of a Leavitt path algebra L of an arbitrary graph E over a field K consists of two parts. In the first part describes how very often a single graph property of E implies multiple ring properties of L, thus making Leavitt path algebras effective tools in constructing rings of various desirable properties. The second part describes methods of constructing simple modules over L and characterizes Leavitt path algebras all of whose simple modules possess some specific properties such as being flat, finitely presented,being graded, injective etc.
Cite
@article{arxiv.1808.04466,
title = {A survey of some of the recent developments in Leavitt path algebras},
author = {Kulumani M. Rangaswamy},
journal= {arXiv preprint arXiv:1808.04466},
year = {2018}
}
Comments
This survey article will appear at the Proceedings of the Cochin conference on Leavitt path algebras. It is 19 pages long