An Objective Representation of the Gaussian Integers
Abstract
Description
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalence x = 1 + x + x^2, showing that in it the non-constant polynomials form a ring. This ring can be identified with the Gaussian integers, which thus acquire objective meaning.
8 pages. Version 2: application to programming added; journal version
8 pages. Version 2: application to programming added; journal version