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Krull's Fundamentalsatz, the generalisation of the main theorem of elementarynumber theory to integral domains, is the starting point of Lorenzen's careerin mathematics. This article traces a conceptual history of Lorenzen'ssuccessive reformulations of the Fundamentalsatz on the basis of excerpts ofhis articles. An edition of the extant correspondence of Lorenzen with Hasse,Krull, and Aubert provides a better understanding of the context of theseinvestigations.

Lorenzen's reshaping of Krull's Fundamentalsatz for integral domains (1938--1953)