Algebras of quotients of path algebras
Rings and Algebras
2007-09-20 v2
Abstract
Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex connects to a line point (equivalently, the Leavitt path algebra has essential socle). We also introduce and characterize the algebraic counterpart of Toeplitz algebras.
Keywords
Cite
@article{arxiv.math/0701638,
title = {Algebras of quotients of path algebras},
author = {Mercedes Siles Molina},
journal= {arXiv preprint arXiv:math/0701638},
year = {2007}
}
Comments
14 pgs (To appear in the Journal of Algebra)