全局域中的加性单位表示
Additive unit representations in global fields - A survey
摘要：
我们给出了一个概述最近的结果，有关加性单位表示。此外，还包括一些开放问题的解决方案。核心问题是某些环是否以及如何由它们的单位（相加）生成。这已经研究了几种类型的环有关的全球领域，最重要的环的代数整数。我们还提出了一些我们认为在这一领域中很重要的问题和建议。
英文摘要：
We give an overview on recent results concerning additive unit representations. Furthermore the solutions of some open questions are included. The central problem is whether and how certain rings are (additively) generated by their units. This has been investigated for several types of rings related to global fields, most importantly rings of algebraic integers. We also state some open problems and conjectures which we consider to be important in this field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
