The Cherlin–Zilber conjecture for infinite simple Lie rings of finite Morley rank

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Let g\mathfrak{g} be an infinite simple Lie ring of finite Morley rank, and suppose that its characteristic is sufficiently large. Cherlin–Zilber conjecture for Lie rings. Then g\mathfrak{g} is a simple Lie algebra over an algebraically closed field. The source presents this as the logged version of the Cherlin–Zilber conjecture and cites DT1; the parser supplies no resolution evidence, so its status is recorded as open.

References

Primary source

Jules Tindzogho Ntsiri and Samuel Zamour, “Cartan subrings in soluble ranked Lie rings”, arXiv:2511.20323 (2026).

Additional references

5 papers in this index state this conjecture (2017–2025). The statement above is taken from the most recent of them; the others are arXiv:2405.07307, arXiv:2012.09582, arXiv:1801.00576, arXiv:1707.02057.

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