论文标题
洛伦岑(Lorenzen)重塑了克鲁尔(Krull)的整体域基本原理(1938--1953)
Lorenzen's reshaping of Krull's Fundamentalsatz for integral domains (1938--1953)
论文作者
论文摘要
Krull的基本原理是基本数理论的主要定理对整体领域的概括,是Lorenzen在数学职业生涯的起点。本文根据他的文章摘录,追溯了洛伦岑连续重新进行基础知识的概念史。 Lorenzen与Hasse,Krull和Aubert现存的对应关系的版本可以更好地理解这些调查的背景。
Krull's Fundamentalsatz, the generalisation of the main theorem of elementary number theory to integral domains, is the starting point of Lorenzen's career in mathematics. This article traces a conceptual history of Lorenzen's successive reformulations of the Fundamentalsatz on the basis of excerpts of his articles. An edition of the extant correspondence of Lorenzen with Hasse, Krull, and Aubert provides a better understanding of the context of these investigations.