TY - JOUR
T1 - The Decomposition and Uniqueness of $n$-Lie Superalgebras
AU - Wang , Chunyue
AU - Zhang , Qingcheng
AU - Zhang , Zhishang
JO - Communications in Mathematical Research 
VL - 5
SP - 385
EP - 401
PY - 2021
DA - 2021/07
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19356.html
KW - $n$-Lie superalgebra, decomposition, indecomposition, derivation, centroid.
AB - <p style="text-align: justify;">In this paper, the definitions and some properties of $n$-Lie superalgebras are presented. Our main aim is to study the decomposition and uniqueness
of finite dimensional $n$-Lie superalgebras with trivial center. According to the
decomposition of $n$-Lie superalgebras, we obtain the decomposition of inner
derivation superalgebras and derivation superalgebras respectively. Furthermore, we discuss some properties about the centroid of $n$-Lie superalgebras, so
we can see its application in the decomposition of $n$-Lie superalgebras.</p>