  In this paper we construct a combinatorial algorithm of resolution of
singularities for binomial ideals, over a field of arbitrary characteristic.
This algorithm is applied to any binomial ideal. This means ideals generated by
binomial equations without any restriction, including monomials and $p$-th
powers, where $p$ is the characteristic of the base field.
  In particular, this algorithm works for toric ideals. However, toric geometry
tools are not needed, the algorithm is constructed following the same point of
view as Villamayor algorithm of resolution of singularities in characteristic
zero.
