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arXiv · 1007.0984

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

William Cherry
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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.

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William Cherry. 2011-04-13. Existence of GCD's and Factorization in Rings of Non-Archimedean Entire Functions. https://arxiv.org/abs/1007.0984

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