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
Publicado: 2019
Materias:
Down-up algebras
Kmax dimension
Krull dimension
Projective modules
Stable rank
Stably free modules
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v526_n_p266_Gallego
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
id paper:paper_00218693_v526_n_p266_Gallego
record_format dspace
spelling paper:paper_00218693_v526_n_p266_Gallego2023-06-08T14:42:31Z Stable rank of down-up algebras Down-up algebras Kmax dimension Krull dimension Projective modules Stable rank Stably free modules 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 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v526_n_p266_Gallego http://hdl.handle.net/20.500.12110/paper_00218693_v526_n_p266_Gallego
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Down-up algebras
Kmax dimension
Krull dimension
Projective modules
Stable rank
Stably free modules
spellingShingle Down-up algebras
Kmax dimension
Krull dimension
Projective modules
Stable rank
Stably free modules
Stable rank of down-up algebras
topic_facet Down-up algebras
Kmax dimension
Krull dimension
Projective modules
Stable rank
Stably free modules
description 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
title Stable rank of down-up algebras
title_short Stable rank of down-up algebras
title_full Stable rank of down-up algebras
title_fullStr Stable rank of down-up algebras
title_full_unstemmed Stable rank of down-up algebras
title_sort stable rank of down-up algebras
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v526_n_p266_Gallego
http://hdl.handle.net/20.500.12110/paper_00218693_v526_n_p266_Gallego
_version_ 1768545311602507776

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