Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220729401