Largest ideals in Leavitt path algebras
Rings and Algebras
2019-05-27 v1
Abstract
We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, and the largest purely infinite. This last ideal is described as a direct sum of purely infinite simple pieces plus purely infinite non-simple and non-decomposable pieces. The invariance under ring isomorphisms of these ideals is also studied.
Cite
@article{arxiv.1905.10160,
title = {Largest ideals in Leavitt path algebras},
author = {Vural Cam and Cristóbal Gil Canto and Müge Kanuni and Mercedes Siles Molina},
journal= {arXiv preprint arXiv:1905.10160},
year = {2019}
}
Comments
19 pages