Stable rank of down-up algebras

Gallego, Claudia; Solotar, Andrea Leonor

info:eu-repo/semantics/article

Fecha

2019-05

Registro en:

Gallego, Claudia; Solotar, Andrea Leonor; Stable rank of down-up algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 526; 5-2019; 266-282

0021-8693

http://hdl.handle.net/11336/136396

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4313534

Autor

Gallego, Claudia

Solotar, Andrea Leonor

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra A(α,β,γ) has a non-free, stably free right ideal. Further, we compute the stable rank of these algebras using Stafford's Stable Range Theorem and Kmax dimension.

Materias

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