Ring extension of entire ring with conjugation; arithmetic in entire rings
History and Overview
2013-02-14 v1
Abstract
Some basic properties of the ring of integers are extended to entire rings. In particular, arithmetic in entire principal rings is very similar than arithmetic in the ring of integers . These arithmetic properties are derived from a -ring extension of the considered entire ring (ring extension with conjugation) equipped with a real function which is a multiplicative structure-preserving map between two algebras. The algebra of this ring extension is studied in detail. Some examples of such ring extension are given.
Keywords
Cite
@article{arxiv.1302.3111,
title = {Ring extension of entire ring with conjugation; arithmetic in entire rings},
author = {Alexandre Laugier},
journal= {arXiv preprint arXiv:1302.3111},
year = {2013}
}