PROJECTIVE P -ORDERINGS AND HOMOGENEOUS INTEGER-VALUED POLYNOMIALS

摘要

Bhargava defined p-orderings of subsets of Dedekind domains and with them studied polynomials which take integer values on those subsets. In analogy with this construction for subsets of Z(p) and p-local integer-valued polynomials in one variable, we define projective p-orderings of subsets of Z2 (p). With such a projective p-ordering for Z2 (p) we construct a basis for the module of homogeneous, p-local integer-valued polynomials in two variables.