dc.contributor.author | Alaminos Prats, Jerónimo | |
dc.contributor.author | Brešar, Matej | |
dc.contributor.author | Extremera Lizana, José | |
dc.contributor.author | Castillo Godoy, María Luisa | |
dc.contributor.author | Villena Muñoz, Armando Reyes | |
dc.date.accessioned | 2023-10-27T11:05:33Z | |
dc.date.available | 2023-10-27T11:05:33Z | |
dc.date.issued | 2022-11-20 | |
dc.identifier.citation | Published version: Alaminos Prats, J. et al. Derivations and homomorphisms in commutator-simple algebras. Proceedings of the American Mathematical Society 151, 11, 4721-4733. [https://doi.org/10.1090/proc/16483] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/85313 | |
dc.description | The first, third, fourth, and fifth authors were supported by the Grant PID2021-122126NB-C31 funded by MCIN/AEI/ 10.13039/501100011033 and by “ERDF A way of
making Europe” and grant FQM-185 funded by Junta de Andalucía. The second author
was supported by the Slovenian Research Agency (ARRS) Grant P1-0288. The fourth
author was also supported by grant FPU18/00419 funded by MIU. | es_ES |
dc.description.abstract | We call an algebra A commutator-simple if [A, A] does not
contain nonzero ideals of A. After providing several examples, we show
that in these algebras derivations are determined by a condition that is
applicable to the study of local derivations. This enables us to prove
that every continuous local derivation D : L1(G) → L1(G), where G is
a unimodular locally compact group, is a derivation. We also give some
remarks on homomorphism-like maps in commutator-simple algebras. | es_ES |
dc.description.sponsorship | MCIN/AEI/ 10.13039/50110001103 Grant PID2021-122126NB-C31 | es_ES |
dc.description.sponsorship | “ERDF A way of
making Europe” | es_ES |
dc.description.sponsorship | Junta de Andalucía FQM-185 | es_ES |
dc.description.sponsorship | Slovenian Research Agency (ARRS) Grant P1-0288 | es_ES |
dc.description.sponsorship | MIU: FPU18/00419 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | American Mathematical Society | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Derivation | es_ES |
dc.subject | Automorphism | es_ES |
dc.subject | Antiautomorphism | es_ES |
dc.subject | Jordan auto-morphism | es_ES |
dc.subject | Local derivation | es_ES |
dc.subject | Local automorphism | es_ES |
dc.subject | Group algebra | es_ES |
dc.title | Derivations and homomorphisms in commutator-simple algebras | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1090/proc/16483 | |
dc.type.hasVersion | SMUR | es_ES |