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oai:riuma.uma.es:10630/390802026-02-03T11:36:11Zcom_10630_2254col_10630_37953

On the centroid of a Leavitt path algebra. Gonçalves, Daniel Martín-Barquero, Dolores Martín-González, Cándido Siles-Molina, Mercedes Centro de masa Algebra Grafos, Teoría de We describe the centroid of some Leavitt path algebras. More precisely, for Leavitt path algebras over a field K, we show that if the algebra is simple, then its centroid is isomorphic to K, and if the algebra is prime, then its centroid is also isomorphic to K, except if the graph is a row-finite comet, in which case the centroid is isomorphic to K[x, x−1]. 2025-06-20T07:55:17Z 2025-06-20T07:55:17Z 2025-06-20T07:55:17Z 2025-06-19 journal article Gonçalves, D., Barquero, D.M., González, C.M. et al. On the centroid of a Leavitt path algebra. J Algebr Comb 61, 48 (2025). 0925-9899 https://hdl.handle.net/10630/39080 10.1007/s10801-025-01414-6 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer Nature