We have builded sets of verycomplex number and hypercomplex number it is the time for generalisations upper dimensions and for every n>1 in lN. For that we are considering ki unitary numbers with i in lN, k0=1, k1=i, k2=k, k3=m ...etc. First of all we Will define those sets. Secondly we will show that those sets are like sets like the set of complex number. We will name Hln highlycomplex number order n or we can easily named Hncomplex.

Les Corps des Nombres hautementcomplex sont corps des nombres complexes à n dimension.