Stable rank of down-up algebras

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...

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Detalles Bibliográficos
Autores principales: Gallego, C., Solotar, A.
Formato: JOUR
Materias:
Down-up algebras
Kmax dimension
Krull dimension
Projective modules
Stable rank
Stably free modules
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v526_n_p266_Gallego
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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. © 2018

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