@article{Ahmad2026, 
author = {Mukhtar Ahmad and Shakir Ali and Abu Zaid Ansari and Intan Muchtadi-Alamsyah and Faiza Shujat},
title = {Classification of certain    n-Derivations of Hom-Lie superalgebras},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {21846-21884},
keywords = {n-derivation, Hom-Lie n-derivation, superalgebra, Hom-Lie superalgebra, centroid, quasi centroid},
url = {https://www.sciopen.com/article/10.3934/math.2026884},
doi = {10.3934/math.2026884},
abstract = {Let    χ be a Hom-Lie superalgebra and    n  ≥  2 be a fixed integer. In this paper, we study the Lie    n-derivation algebra    h  N  Der  ⁡  (  χ  ) as well as the generalized Lie    n-derivation algebra    h  G  N  Der  ⁡  (  χ  ). We also analyze the structures of the    n-centroids, the    n-quasi centroids, and the central    n-derivations, and examine how they relate to    h  N  Der  ⁡  (  χ  ) and    h  G  N  Der  ⁡  (  χ  ). Moreover, we obtain a full classification of    n-derivations of Hom-Lie superalgebras and demonstrate that, for simple Hom-Lie superalgebras, one has    h  N  Der  ⁡  (  χ  )  =  h  Der  ⁡  (  χ  ).}
}