An Objective Representation of the Gaussian Integers

Details An Objective Representation of the Gaussian Integers An Objective Representation of the Gaussian Integers

2002-11-28

arxiv.org/abs/math/0211454v2

Journal of Symbolic Computation 37 (2004), no. 6, 707-716

Mathematics

Rings and Algebras

8 pages. Version 2: application to programming added; journal version

Scientific paper

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.

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