Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions
Complex Variables
2013-02-27 v2 Rings and Algebras
Abstract
A detailed proof is given of the well-known facts that greatest common divisors exist in rings of non-Archimedean entire functions of several variables and that these rings of entire functions are almost factorial, in the sense that an entire function can be uniquely written as a countable product of irreducible entire functions.
Keywords
Cite
@article{arxiv.1007.0984,
title = {Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions},
author = {William Cherry},
journal= {arXiv preprint arXiv:1007.0984},
year = {2013}
}
Comments
13 pages. Version 2 does some re-organization in response to the referee and adds material on factorization