Leavitt path algebras having Unbounded Generating Number
Rings and Algebras
2016-04-01 v1
Abstract
We present a result of P. Ara which establishes that the Unbounded Generating Number property is a Morita invariant for unital rings. Using this, we give necessary and sufficient conditions on a graph so that the Leavitt path algebra associated to has UGN. We conclude by identifying the graphs for which the Leavitt path algebra is (equivalently) directly finite; stably finite; Hermite; and has cancellation of projectives.
Keywords
Cite
@article{arxiv.1603.09695,
title = {Leavitt path algebras having Unbounded Generating Number},
author = {G. Abrams and T. G. Nam and N. T. Phuc},
journal= {arXiv preprint arXiv:1603.09695},
year = {2016}
}
Comments
23 pages. Submitted April 2016