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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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
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spelling todo:paper_00218693_v526_n_p266_Gallego2023-10-03T14:21:37Z Stable rank of down-up algebras Gallego, C. Solotar, A. 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 JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Gallego, C.
Solotar, A.
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
format JOUR
author Gallego, C.
Solotar, A.
author_facet Gallego, C.
Solotar, A.
author_sort Gallego, C.
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
url http://hdl.handle.net/20.500.12110/paper_00218693_v526_n_p266_Gallego
work_keys_str_mv AT gallegoc stablerankofdownupalgebras
AT solotara stablerankofdownupalgebras
_version_ 1782024969900785664

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