Cohn-Leavitt Path Algebras and the Invariant Basis Number Property
Rings and Algebras
2020-12-29 v1
Abstract
We give the necessary and sufficient condition for a separated Cohn-Leavitt path algebra of a finite digraph to have IBN. As a consequence, separated Cohn path algebras have IBN. We determine the non-stable K-theory of a corner ring in terms of the non-stable K-theory of the ambient ring. We give a necessary condition for a corner algebra of a separated Cohn-Leavitt path algebra of a finite graph to have IBN. We provide Morita equivalent rings which are non-IBN, but are of different types.
Keywords
Cite
@article{arxiv.1606.07998,
title = {Cohn-Leavitt Path Algebras and the Invariant Basis Number Property},
author = {Müge Kanuni and Murad Özaydın},
journal= {arXiv preprint arXiv:1606.07998},
year = {2020}
}
Comments
17 pages