Exchange Leavitt path algebras and stable rank

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We characterize Leavitt path algebras which are exchange rings in terms of intrinsic properties of the graph and show that the values of the stable rank for these algebras are 1, 2 or $\infty$. Concrete criteria in terms of properties of the underlying graph are given for each case.

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Rings and Algebras, 16D70

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http://salesiana.dossiersoluciones.com/handle/123456789/76240

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509035
 http://arxiv.org/abs/math/0509035

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arXiv