Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 30 (2020), No. 1, 259--276Copyright Heldermann Verlag 2020 Nonabelian Tensor Product of n-Lie Algebras Seyedeh Nafiseh Akbarossadat Dept. of Mathematics, Islamic Azad University, Mashhad, Iran n.akbarossadat@gmail.com Farshid Saeedi Dept. of Mathematics, Islamic Azad University, Mashhad, Iran Saeedi@mshdiau.ac.ir [Abstract-pdf] Let $L$ and $P$ be two $n$-Lie algebras over a field $\mathbb{F}$. We define the notion of nonabelian tensor products of $L$ and $P$, which is denoted by $L\otimes P$. We obtain some properties of nonabelian tensor products, and finally, we aim to study the abelianess of $n$-Lie algebras as well as their dimensions. Keywords: n-Lie algebra, nonabelian tensor product, nonabelian tensor square. MSC: 16W25, 15A69. [ Fulltext-pdf  (150  KB)] for subscribers only.