Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions

Details Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions

2010-07-06

arxiv.org/abs/1007.0984v2

Mathematics

Complex Variables

13 pages. Version 2 does some re-organization in response to the referee and adds material on factorization

Scientific paper

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.

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