On the $S_2$-fication of Some Toric Varieties
  Some results on the Cohen-Macaulayness of the canonical module. We study the $S_2$-fication of rings which are quotients by lattices ideals. Given a simplicial lattice ideal of codimension two $I,$ its Macaulayfication is given explicitly from a system of generators of $I$. 
Marcel Morales