@Article{CMR-25-385, author = {Wang , ChunyueZhang , Qingcheng and Zhang , Zhishang}, title = {The Decomposition and Uniqueness of $n$-Lie Superalgebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {5}, pages = {385--401}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19356.html} }