  In 2014, Wolfgang Rump showed that there exists a correspondence between left
nilpotent right R-braces and pre-Lie algebras. This correspondence, established
using a geometric approach related to flat affine manifolds and affine torsors,
works locally. In this paper we explain Rump's correspondence using only
algebraic formulae. An algebraic interpretation of the correspondence works for
fields of sufficiently large prime characteristic as well as for fields of
characteristic zero.
