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

被引：0

作者：

Cherry, William ^{[1
]}

机构：

[1] Univ N Texas, Dept Math, Denton, TX 76203 USA

来源：

ADVANCES IN NON-ARCHIMEDEAN ANALYSIS | 2011年 / 551卷

关键词：

non-Archimedean; entire functions; several variables; greatest common divisors; factorial; Weierstrass Preparation Theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：57 / 69

页数：13

共 7 条

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[2]

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[4]

Escassut A., 2003, ULTRAMETRIC BANACH A

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[6]

LUTKEBOHMERT W, 1995, COMMUNICATION

[7]

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