Norms and Moduli on Multicomplex Spaces

Multicomplex analysis describes the theory of holomorphic functions on spaces generated by n commuting complex units. In this context we extend some notions of norms and moduli from the space of bicomplex numbers to the space of multicomplex numbers. This approach is meant to be used towards a meaningful theory of Riemannian and semi-Riemannian geometries built on such spaces.