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arxiv: 1304.7336 · v1 · pith:IRMGH5LInew · submitted 2013-04-27 · 🧮 math.RA

Some characterizations of nilpotent n-Lie superalgebras

classification 🧮 math.RA
keywords nilpotentsuperalgebrassomecharacterizationsconditionsengelfinallyfirst
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The paper studies nilpotent $n$-Lie superalgebras. More specifically speaking, we first prove Engel's theorem for $n$-Lie superalgebras. Second, we research some properties of nilpotent $n$-Lie superalgebras, Finally, we give several sufficient conditions that an $n$-Lie superalgebra is nilpotent.

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