Heinz Prüfer
Ernst Paul Heinz Prüfer (10 November 1896 – 7 April 1934) was a
Jewish mathematician born in Wilhelmshaven. His major contributions were on abelian groups, graph theory, algebraic numbers, knot theory and Sturm–Liouville theory
.
In 1915 he began his university studies in mathematics,
Münster University where he worked until the end of his life. His final work was about projective geometry, but it was posthumously completed by his students Gustav Fleddermann and Gottfried Köthe
.
Heinz Prüfer was married, but never had children. He died prematurely at 37 years of age in 1934 in Münster, Germany, due to lung cancer.
Mathematical contributions
Heinz Prüfer created the following mathematical notions that were later named after him:
- Prüfer sequence (also known as a Prüfer code; it has broad applications in graph theory and network theory).
- Prüfer domain. Also see Bézout domain, which is a Prüfer domain
- Prüfer rank
- Prüfer manifold also known as Prüfer surface or Prüfer analytical manifold
- Prüfer group
- Prüfer theorems
References
- Behnke, H.; Köthe, G. (1935), "Heinz Prüfer", Jahresbericht der Deutschen Mathematiker-Vereinigung, XLV: 32–40
- Mader, Adolf (1987), "Heinz Prüfer and his papers on abelian groups", in Rüdiger Göbel, Elbert Walker (ed.), Abelian group theory: proceedings of the Third Conference on Abelian Group Theory at Oberwolfach, August 11–17, 1985, Gordon and Breach, pp. 1–8, MR 1011302
- Solomentsev, E.D. (2001) [1994], "Prüfer surface", Encyclopedia of Mathematics, EMS Press
- Jürgen Elstrodt and Norbert Schmitz: History of Münster University (2013). Chapter 52. page 111, Heinz Prüfer Biographie. Chapter 52. page 111
- Prüfer, Heinz; Fleddermann, Gustav; Köthe, Gottfried, Projektive Geometrie. Aus dem Nachlaß herausgegeben von G. und G.. 2. unveränd. Aufl. VII + 314 S Leipzig 1935., Akademische Verlagsgesellschaft Geest u. Portig K. G.
- .
- Halter-Hoch, Franz (2003), Characterization of Pruefer Multiplication Monoids and Domains by Means of Spectral Module Systems; Volume 139,19-31., Springer
- Jarden, Moshe (1975), "On Ideal Theory in High Prufer Domains", Manuscripta Mathematica, 14 (4), Springer Verlag ISSN 0025-2611: 303–336, S2CID 122203091
- Fontana, M; Huckaba, I; Papick, J (1996), Prüfer Domains. Pure and Applied Mathematics Books. 329 Pages;, Marcel Dekker Publishing, New York, ISBN 0-8247-9816-3
- Kajimoto, H (2003), "An Extension of the Prüfer Code and Assembly of Connected Graphs from Their Blocks", S2CID 22970936
External links
- O'Connor, John J.; Robertson, Edmund F., "Heinz Prüfer", MacTutor History of Mathematics Archive, University of St Andrews
- Heinz Prüfer at the Mathematics Genealogy Project
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