Projective P - Orderings and Homogeneous Integer - Valued Polynomials
نویسنده
چکیده
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 Z(p). With such a projective p-ordering for Z(p) we construct a basis for the module of homogeneous, p-local integer-valued polynomials in two variables.
منابع مشابه
On P -orderings, Rings of Integer-valued Polynomials, and Ultrametric Analysis
Contents 1. Introduction 963 2. A game called í µí±-orderings 967 2.1. On í µí±-removed í µí±-orderings 968 2.2. On í µí±-orderings of order ℎ 969 3. Rings of integer-valued polynomials 969 3.1. Polynomials with integer-valued divided differences 970 3.2. Integer-valued polynomials having a given modulus 973 4. Smooth functions on compact subsets of local fields 976 4.1. The Banach space of...
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