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Galois Theory: Lectures Delivered at the University of Notre Dame - Emil Artin

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Galois Theory: Lectures Delivered at the University of Notre Dame - ki

Artin made major contributions to the theory of noncommutative rings. He attended the University of Goettingen before becoming a lecturer at the University of Hamburg. Although he was not Jewish, his wife was, so when the "New Official's Law" (1937)--which affected those related to Jews by marriage--was enacted, he was forced to leave Germany. In 1937 he emigrated to the USA and taught at various universities, including Notre Dame (1937-38), Indiana (1938-46) and Princeton (1946-58). In 1958 Artin returned to Germany and was appointed to the faculty at the University at Hamburg. Artin's first work was on quadratic number fields, working on the analytic and arithmetic theory. In 1927 he made a major contribution to the theory of noncommutative rings, called hypercomplex numbers at this time. In particular he worked in the theory of associative algebras. In 1944 he did important work on rings with the minimum condition on right ideals, now called Artinian rings. He presented new insight into semi-simple algebras over the rationals. Another important piece of work during his first period in Hamburg was the theory of braids which Artin presented in 1925. These have proved important to both algebra and topology.
In 1955 he produced two important papers on finite simple groups, proving that the only coincidences in orders of the known (in 1955) finite simple groups were those given by Leonard Eugene Dickson in his book on linear groups. He died in 1962.

Galois Theory: Lectures Delivered at the University of Notre Dame Emil Artin

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