Lorenzen’s Reshaping of Krull’s Fundamentalsatz for Integral Domains (1938–1953)
Stefan Neuwirth
Abstract
Abstract 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.
Topics & Concepts
MathematicsExtant taxonContext (archaeology)Point (geometry)Algebra over a fieldPure mathematicsHistoryGeometryEvolutionary biologyArchaeologyBiologyHistory and Theory of MathematicsMathematics and ApplicationsLogic, programming, and type systems