Wolfgang Krull (26 August 1899 – 12 April 1971) was a German mathematician who made fundamental contributions to commutative algebra, introducing concepts...

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...

(born 1954), West German field hockey player Suzanne Krull (born 1966), American actress Wolfgang Krull, German mathematician, who was responsible for the...

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 a...

first discovered in the special case of ideals in a commutative ring by Wolfgang Krull and then in general by Goro Azumaya (1951). In the commutative case...

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...

ring at a prime ideal. The concept of local rings was introduced by Wolfgang Krull in 1938 under the name Stellenringe. The English term local ring is...

similar to the dimension of vector spaces. The Krull dimension of a commutative ring, named after Wolfgang Krull (1899–1971), is defined to be the maximal...

theory, Krull's theorem, named after Wolfgang Krull, asserts that a nonzero ring has at least one maximal ideal. The theorem was proved in 1929 by Krull, who...

{\displaystyle \operatorname {Gal} (L/K)} is known as the Krull topology after Wolfgang Krull. Waterhouse (1974) showed that every profinite group is isomorphic...

In mathematics, the Krull–Schmidt theorem states that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written...

of maximal ideals. Jacobson rings were introduced independently by Wolfgang Krull (1951, 1952), who named them after Nathan Jacobson because of their...

to as the Noether school. An example of this is her close work with Wolfgang Krull, who greatly advanced commutative algebra with his Hauptidealsatz and...

that the minimal number of generators of its maximal ideal is equal to its Krull dimension. In symbols, let A be a Noetherian local ring with maximal ideal...

noncommutative rings by using the commutative definition "ideal-wise". Wolfgang Krull advanced this idea in 1928. The following content can be found in texts...

responsible for the birth of commutative algebra as a mature subject was Wolfgang Krull, who introduced the fundamental notions of localization and completion...

commutative ring R by the powers of a proper ideal I determines the Krull (after Wolfgang Krull) or I-adic topology on R. The case of a maximal ideal I = m {\displaystyle...

In abstract algebra, Krull's separation lemma is a lemma in ring theory. It was proved by Wolfgang Krull in 1928. Let I {\displaystyle I} be an ideal...

Japanese mathematician. He was a professor at Kyoto University. Alongside Wolfgang Krull, Oscar Zariski, and Masayoshi Nagata, he is famous for his early work...

University of Bonn. For his Ph.D. thesis, written under the direction of Wolfgang Krull, he was awarded in 1965 the Felix-Hausdorff-Gedächtnis-Preis. He completed...

Schmidt (1897–1964), German and American-naturalized archaeologist Wolfgang Krull (1899–1971), mathematician Marco Grimm (born 1972), football player...

pro-endlichen Gruppen. Doctorate Thesis, Universität Bonn, 1968 (Advisor: Wolfgang Krull) with Klaus Indermark: Algorithmen, Rekursive Funktionen und Formale...

known as affine varieties. Motivated by these ideas, Emmy Noether and Wolfgang Krull developed commutative algebra in the 1920s and 1930s. Their, work generalizes...

Chemist Felix Klein Mathematician Maxim Kontsevich Mathematical Physicist Wolfgang Krull Mathematician Philipp Lenard Physicist Harald Lesch Physicist, astronomer...

and Loewy series are named after him. His graduate students included Wolfgang Krull and Friedrich Karl Schmidt. Versicherungsmathematik, 19034th ed. 1924...

statistical physics) Herbert Kroemer — Physics — Nobel Prize in Physics 2000 Wolfgang Krull — Mathematics Heinrich Gerhard Kuhn — Physics Edmund Landau — Mathematics...

obtained his Ph.D. at the University of Bonn in 1967 under the guidance of Wolfgang Krull and Jacques Tits. Arnaldo Garcia was a student of his. With J. F. Voloch:...

Gottfried Köthe M. Kourensky Giulio Krall [de] Mikhail Kravchuk H. Krebs Wolfgang Krull Nikolay Mitrofanovich Krylov Casimir Kuratowski L. Laboccetta J. Le...

Marguerite Krull is an American classical soprano who has had an active international performance career since the 1990s. Due to her wide vocal range...

Abbeanum [de] in Jena, from left to right: Hubert Cremer, Heinrich Grell, Wolfgang Krull, Friedrich Karl Schmidt, Heinrich Heesch, Egon Ullrich, Friedrich Wilhelm...