A Dubnov-Ivanov-Nagata-Higman Theorem for NIP nilrings
We prove that NIP nilrings of bounded nilexponent are nilpotent. We also deduce that NIP $ω$-categorical $n$-Engel Lie algebras of characteristic $p>n$ are nilpotent, yielding a case of the Lie algebra analogous of Wilson conjecture for $ω$-categorical groups.
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