Wolfgang Krull was a German mathematician, born on 26 August 1899 and died on 12 April 1971, who made fundamental contributions to commutative algebra, introducing concepts that are now central to the subject. He was born and went to school in Baden-Baden, attended the Universities of Freiburg, Rostock and Gottingen, and earned his doctorate at Gottingen under Alfred Loewy. He was an instructor and professor at Freiburg, spent a decade at Erlangen, and from 1939 held the chair at the University of Bonn for the rest of his life. He supervised 35 doctoral students.
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Source Krull Dimension (Wikipedia)
In Branch
Source Wolfgang Krull (Wikipedia)
Proofs Credited
Source Krull-Akizuki theorem (Wikipedia)
Source Krull's principal ideal theorem (Wikipedia)
Source Wikipedia: Krull-Schmidt theorem
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1. Wolfgang Krull (Wikipedia)
Lead paragraph
He attended the Universities of Freiburg, Rostock and finally G
Lead paragraph [nationality-culture]
was a German mathematician
In Branch: Commutative Algebra, Lead paragraph [in-branch]
commutative algebra
View the SourceKrull Dimension (Wikipedia)
Attributed Works: Krull Dimension, Lead paragraphQuote, Attributed Works: Krull Dimension, Lead paragraph
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.
Wikipedia: Krull-Schmidt theorem
Wikimedia FoundationProofs Credited: Krull-Schmidt Theorem, Lead paragraphQuote, Proofs Credited: Krull-Schmidt Theorem, Lead paragraph
In mathematics, the Krull-Schmidt theorem states that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written
Krull's principal ideal theorem (Wikipedia)
Proofs Credited: Krull's Principal Ideal Theorem, Lead paragraphQuote, Proofs Credited: Krull's Principal Ideal Theorem, Lead paragraph
In commutative algebra, Krull's principal ideal theorem, named after Wolfgang Krull (1899-1971), gives a bound on the height of a principal ideal in
Krull-Akizuki theorem (Wikipedia)
Proofs Credited: Krull-Akizuki Theorem, Lead paragraphQuote, Proofs Credited: Krull-Akizuki Theorem, Lead paragraph
In commutative algebra, the Krull-Akizuki theorem states the following: Let A be a one-dimensional reduced noetherian ring, K its total ring of fractions.
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