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dc.contributor.authorAlaminos Prats, Jerónimo 
dc.contributor.authorBrešar, Matej
dc.contributor.authorExtremera Lizana, José 
dc.contributor.authorCastillo Godoy, María Luisa 
dc.contributor.authorVillena Muñoz, Armando Reyes 
dc.date.accessioned2023-10-27T11:05:33Z
dc.date.available2023-10-27T11:05:33Z
dc.date.issued2022-11-20
dc.identifier.citationPublished 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.urihttps://hdl.handle.net/10481/85313
dc.descriptionThe 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.abstractWe 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.sponsorshipMCIN/AEI/ 10.13039/50110001103 Grant PID2021-122126NB-C31es_ES
dc.description.sponsorship“ERDF A way of making Europe”es_ES
dc.description.sponsorshipJunta de Andalucía FQM-185es_ES
dc.description.sponsorshipSlovenian Research Agency (ARRS) Grant P1-0288es_ES
dc.description.sponsorshipMIU: FPU18/00419es_ES
dc.language.isoenges_ES
dc.publisherAmerican Mathematical Societyes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDerivationes_ES
dc.subjectAutomorphismes_ES
dc.subjectAntiautomorphismes_ES
dc.subjectJordan auto-morphismes_ES
dc.subjectLocal derivationes_ES
dc.subjectLocal automorphismes_ES
dc.subjectGroup algebraes_ES
dc.titleDerivations and homomorphisms in commutator-simple algebrases_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1090/proc/16483
dc.type.hasVersionSMURes_ES


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