Bastos Júnior, Raimundo de AraújoSilveira, Danilo Sanção da2022-09-152022-09-152021BASTOS JÚNIOR, R. de A.; SILVEIRA, D. S. da. Bounded Engel elements in residually finite groups satisfying an identity. Communications in Algebra, v. 49, n. 6, p. 2556–2562, 2021. Disponível em: <https://www.tandfonline.com/doi/abs/10.1080/00927872.2021.1877295?journalCode=lagb20>. Acesso em: 29 abr. 2022.1532-4125http://www.repositorio.ufop.br/jspui/handle/123456789/15298Let G be a m-generator residually finite group. We show that: 1) if every ck-value in G is right n-Engel, then ckðGÞ is s-Engel for some fk, m, ng-bounded number s; 2) if G satisfies an identity w 1 and G can be generated by a commutator-closed set of left n-Engel elements, then G has {m, n, w}-bounded class. 3) if G has a specific generating set X in which some power of each element in X is a bounded left Engel, then G is virtu- ally nilpotent.en-USrestritoLie algebrasBounded Engel elements in residually finite groups satisfying an identity.Artigo publicado em periodicohttps://www.tandfonline.com/doi/abs/10https://doi.org/10.1080/00927872.2021.1877295