  We construct a bialgebra object in the category of linear maps LM from a
cocommutative rack bialgebra. The construction does extend to some
non-cocommutative rack bialgebras, as is illustrated by a concrete example. As
a separate result, we show that the Loday complex with adjoint coefficients
embeds into the rack bialgebra deformation complex for the rack bialgebra
defined by a Leibniz algebra.
