2019-11-142019-11-142012Camacho Santana, L.M., Gómez Martín, J.R., Khudoyberdiyev, A.K. y Omirov, B.A. (2012). On the description of Leibniz superalgebras of nilindex n+m. Forum Mathematicum, 24 (4), 809-826.0933-7741https://hdl.handle.net/11441/90198In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 + · · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, respectively. Such superalgebras with condition n1 ≥ n − 1 were classified in [4]–[5]. Here we prove that in the case n1 ≤ n − 2 the Leibniz superalgebras have nilindex less than n +m. Thus, we get the classification of Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n +m.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Lie superalgebrasLeibniz superalgebrasnilindexCharacteristic sequenceNaturally gradationOn the description of Leibniz superalgebras of nilindex n+minfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1515/form.2011.0856635136