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Wolfgang Krull (26 August 1899 – 12 April 1971) was a German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
who made fundamental contributions to
commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Promi ...
, introducing concepts that are now central to the subject. Krull was born and went to school in
Baden-Baden Baden-Baden () is a spa town in the state of Baden-Württemberg, south-western Germany, at the north-western border of the Black Forest mountain range on the small river Oos, ten kilometres (six miles) east of the Rhine, the border with France, ...
. He attended the Universities of
Freiburg Freiburg im Breisgau (; abbreviated as Freiburg i. Br. or Freiburg i. B.; Low Alemannic: ''Friburg im Brisgau''), commonly referred to as Freiburg, is an independent city in Baden-Württemberg, Germany. With a population of about 230,000 (as o ...
, Rostock and finally Göttingen from 1919–1921, where he earned his doctorate under Alfred Loewy. He worked as an instructor and professor at Freiburg, then spent a decade at the University of Erlangen. In 1939 Krull moved to become chair at the
University of Bonn The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine ...
, where he remained for the rest of his life. Wolfgang Krull was a member of the
Nazi Party The Nazi Party, officially the National Socialist German Workers' Party (german: Nationalsozialistische Deutsche Arbeiterpartei or NSDAP), was a far-right political party in Germany active between 1920 and 1945 that created and supported t ...
. His 35 doctoral students include
Wilfried Brauer Wilfried Brauer (8 August 1937 – 25 February 2014) was a German computer scientist and professor emeritus at Technical University of Munich. Life and work Brauer studied Mathematics, Physics, and Philosophy at the Free University of Berlin. ...
,
Karl-Otto Stöhr Karl-Otto Stöhr (born 9 May 1942) is a German mathematician working on algebraic geometry. He is a titular researcher at the IMPA. Stöhr is a titular member of the Brazilian Academy of Sciences and has received Brazil's National Order of Scie ...
and Jürgen Neukirch.


See also

*
Cohen structure theorem In mathematics, the Cohen structure theorem, introduced by , describes the structure of complete Noetherian local rings. Some consequences of Cohen's structure theorem include three conjectures of Krull Krull is a surname originating from Prussia ...
* Jacobson ring * Local ring * Prime ideal * Real algebraic geometry * Regular local ring * Valuation ring *
Krull dimension In commutative algebra, the Krull dimension of a commutative ring ''R'', named after Wolfgang Krull, is the supremum of the lengths of all chains of prime ideals. The Krull dimension need not be finite even for a Noetherian ring. More generall ...
*
Krull ring In commutative algebra, a Krull ring, or Krull domain, is a commutative ring with a well behaved theory of prime factorization. They were introduced by Wolfgang Krull in 1931. They are a higher-dimensional generalization of Dedekind domains, which ...
* Krull topology * Krull–Azumaya theorem * Krull–Schmidt category * Krull–Schmidt theorem * Krull's intersection theorem * Krull's principal ideal theorem *
Krull's separation lemma In abstract algebra, Krull's separation lemma is a lemma in ring theory. It was proved by Wolfgang Krull in 1928. Statement of the lemma Let I be an ideal and let M be a multiplicative system (''i.e.'' M is closed under multiplication) in a ring R, ...
* Krull's theorem


Publications

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References


External links

* * 1899 births 1971 deaths 20th-century German mathematicians Nazi Party members Algebraists {{Germany-mathematician-stub