Wolfgang Krull
Encyclopedia
Wolfgang Krull was a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 working in the field of commutative algebra
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...

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He was born in Baden-Baden
Baden-Baden
Baden-Baden is a spa town in Baden-Württemberg, Germany. It is located on the western foothills of the Black Forest, on the banks of the Oos River, in the region of Karlsruhe...

, Imperial Germany and died in Bonn
Bonn
Bonn is the 19th largest city in Germany. Located in the Cologne/Bonn Region, about 25 kilometres south of Cologne on the river Rhine in the State of North Rhine-Westphalia, it was the capital of West Germany from 1949 to 1990 and the official seat of government of united Germany from 1990 to 1999....

, West Germany
West Germany
West Germany is the common English, but not official, name for the Federal Republic of Germany or FRG in the period between its creation in May 1949 to German reunification on 3 October 1990....

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See also

  • Krull dimension
    Krull dimension
    In commutative algebra, the Krull dimension of a ring R, named after Wolfgang Krull , is the supremum of the number of strict inclusions in a chain of prime ideals. The Krull dimension need not be finite even for a Noetherian ring....

  • Krull topology
  • Krull's intersection theorem
  • Krull's principal ideal theorem
    Krull's principal ideal theorem
    In commutative algebra, Krull's principal ideal theorem, named after Wolfgang Krull , gives a bound on the height of a principal ideal in a Noetherian ring...

  • Krull ring
    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 .-Formal definition:...

  • Krull's theorem
    Krull's theorem
    In mathematics, more specifically in ring theory, Krull's theorem, named after Wolfgang Krull, proves the existence of maximal ideals in any unital ring. The theorem was first stated in 1929 and is equivalent to the axiom of choice.- Krull's theorem :...

  • Krull–Schmidt theorem
    Krull–Schmidt theorem
    In mathematics, the Krull–Schmidt theorem states that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written as a finite direct product of indecomposable subgroups.-Definitions:...


External links

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