2026-06-01T10:18:28Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/401362026-02-03T11:28:19Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Gil-Canto, Cristóbal
author
Martín-Barquero, Dolores
author
Martín-González, Cándido
author
Ruiz Campos, Iván
author
Clark, Lisa O
2025-10-08T11:13:43Z
2025-10-08T11:13:43Z
2025
Lisa O. Clark, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González e Iván Ruiz Campos, On the socle of a class of Steinberg algebras, Linear Algebra and its Applications, 728 (2026), 449-464
https://hdl.handle.net/10630/40136
10.1016/j.laa.2025.09.016
We study minimal left ideals in Steinberg algebras of Hausdorff groupoids. We establish a relationship between minimal left ideals in the algebra and open singletons in the unit space of the groupoid. We apply this to obtain results about the socle of Steinberg algebras under certain hypotheses. This encompasses known results about Leavitt path algebras and improves on Kumjian-Pask algebra results to include higher rank graphs that are not row-finite
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Grupos topológicos
Algebras asociativas
On the socle of a class of Steinberg algebras
journal article
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URL
https://riuma.uma.es/bitstreams/5a727b41-2917-4f2e-b40d-daeb362a91ce/download
File
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1984aa0c3075d6d5273db30e25944131
403147
application/pdf
Steinberg_Socle.pdf