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Stable rank of down-up algebras

Gallego, Claudia et al · Academic Press Inc Elsevier Science · 2019

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Author / responsible party
Gallego, Claudia et al
Publisher
Academic Press Inc Elsevier Science
Year
2019
ISSN
0021-8693
ISSN
0021-8693
Language
English

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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. Fil: Gallego, Claudia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina Fil: Solotar, Andrea Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina

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APA 7

Gallego, C. E. A. (2019). Stable rank of down-up algebras. http://hdl.handle.net/11336/136396

MLA

Gallego, Claudia et al. "Stable rank of down-up algebras." 2019. http://hdl.handle.net/11336/136396.

Chicago

Gallego, Claudia et al. 2019. "Stable rank of down-up algebras.". http://hdl.handle.net/11336/136396.

Harvard

Gallego, C. E. A. 2019, Stable rank of down-up algebras, Academic Press Inc Elsevier Science, available at: http://hdl.handle.net/11336/136396 [Accessed 8 Aug. 2026].

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Title
Stable rank of down-up algebras
Author / contributors
Gallego, Claudia et al
Publisher
Academic Press Inc Elsevier Science
Publication year
2019
ISSN
0021-8693
ISSN
0021-8693
Language
English

Subjects

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DOWN-UP ALGEBRAS; KMAX DIMENSION; KRULL DIMENSION; PROJECTIVE MODULES; STABLE RANK; STABLY FREE MODULES; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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