. As a mathematician of high international standing he received many invitations and honors. Bonn, Federal Republic of Germany, 12 April 1971 mathematics. In 1937 Krull proved the main part of the Krull-Akizuki theorem, and in 1938 the Krull-Amazuya lemma, a classical line of reasoning in algebra. In 1962 the University of Erlangen conferred on him the degree of honorary doctor; he was the only mathematician given this honor. From this time until his death over fifty further publications appeared. After graduating from high school in 1919, he studied at the University of Freiburg and the University of Rostock.
He worked as an instructor and professor at Freiburg, then spent a decade at the. In 1939 Krull moved to become chair at the , where he remained for the rest of his life. In 1928 he went to Erlangen as full professor. In 1928 Krull introduced the important concept of the Krull dimension of a commutative Noetherian ring. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben. The importance of Krull rings lies in the fact that the integral closure of a Noetherian integral domain is not necessarily a Noetherian ring, but it is always a Krull ring. Krull posed the problem of determining the structure of all complete local rings, which I.
In 1929 he married Gret Meyer; they had two daughters. Krull was the son of Helmuth Krull, a dentist in Baden-Baden, and Adele Siefert Krull. His early publications were about the theory of rings and the theory of algebraic extensions of fields. Krull also defined rings that today are called Krull rings. He attended the Universities of , and finally , where he earned his doctorate under.
During the war he was called up into the naval meteorological service. Wolfgang Krull was a member of the. While at Erlangen, Krull became chairman of the Faculty of Science. He wants to arrange and group these theorems together in such a way that they appear not only as correct but also as imperative and self-evident. On his return to Freiburg in 1921. Theyears Krull spent as full professor in Erlangen were the high point of his creative life.
Northcott Ideal Theory Cambridge, England. Der Verlag stellt mit diesem Archiv Quellen f r die historische wie auch die disziplingeschichtliche Forschung zur Verf gung, die jeweils im historischen Kontext betrachtet werden m ssen. Krull was born and went to school in. The theory of groups with subgroup topology, published in 1965, belongs to the same sphere of work. On 1 October 1922 Krull became an instructor at Freiburg, and in 1926 he was appointed unsalaried associate professor. In 1921 had recognized the importance of the rings in which the maximal condition for ideals is satisfied, rings that are now termed Noetherian. In 1920 and 1921 he studied at Göttingen, where he became acquainted with , whom he greatly admired.
Wallstein Verlag, Göttingen 2005, , p. It was , however, who awakened in Krull an enthusiasm for modern algebra, which at that time was making rapid advances. In 1939 he accepted an appointment to the University of Bonn. In 1925 he had proved a theorem concerning the decomposition of an abelian group of operators as the direct sum of indecomposable groups, the Krull-Schmidt theorem. These were in part a continuation of his earlier studies, but they also dealt with other fields of mathematics: group theory-calculus of variations, differential equations. In 1932 Krull introduced the theory of additive valuations. About thirtyfive publications of fundamental importance for the development of commutative algebra and date from this period.
He directed thirty-five doctoral theses. Wolfgang Krull, Göttingen 1920 Wolfgang Krull 26 August 1899 — 12 April 1971 was a who made fundamental contributions to , introducing concepts that are now central to the subject. In a paper published in 1928 Krull applied the fundamental ideas of the Galois theory, at first valid only for finite extensions, to infinite normal separable extensions. To my mind such an aspiration is an aesthetic one and not one based on theoretical cognition. His 35 doctoral students include , and. Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anf ngen des Verlags von 1842 erschienen sind.
Krull had close professional and human contact with his many students. In 1946 he resumed his work in Bonn. The ideas of this theory are used in the theory of integrally closed rings and in. . . . .