Characterizing Rickart and Baer ultragraph Leavitt path algebras
Rings and Algebras
2023-07-28 v1
Abstract
We characterize ultragraph Leavitt path algebras that are Rickart, locally Rickart, graded Rickart, and graded Rickart *-rings. We also characterize ultragraph Leavitt path algebras that are Baer, locally Baer, graded Baer, Baer *-rings, and combinations of these. These characterizations build on and generalize the work of Hazrat and Vas on Leavitt path algebras over fields to ultragraph Leavitt path algebras over semi-simple commutative unital rings.
Cite
@article{arxiv.2307.14431,
title = {Characterizing Rickart and Baer ultragraph Leavitt path algebras},
author = {Mitchell Jubeir and Daniel W van Wyk},
journal= {arXiv preprint arXiv:2307.14431},
year = {2023}
}