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Collected Papers

by Emil Artin , Serge Lang , John T. Tate
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Book cover type: Paperback
  • ISBN13: 9781461457985
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 560
  • Original Price: EUR 64.99
  • Language: German
  • Edition: 2013. Reprint o
  • Item Weight: 799 grams
  • BISAC Subject(s): Algebra / Abstract

Thesis.- 1. Quadratische Körper im Gebiet der höheren Kongruenzen I, II.- Class Field Theory.- 2. Über die Zetafunktionen gewisser algebraischer Zahlkörper.- 3. Ober eine neue Art von L-Reihen.- 4. Über den zweiten Ergänzungssatz zum Reziprozitätsgesetz der l-ten Potenzreste im Körper k? der l-ten Einheitswurzeln und in Oberkörpern von k?.- 5. Beweis des allgemeinen Reziprozitätsgesetzes.- 6. Die beiden Ergänzungssätze zum Reziprozitätsgesetz der ln-ten Potenzreste im Körper der ln-ten Einheitswurzeln.- 7. Idealklassen in Oberkörpern und allgemeines Reziprozitätsgesetz.- 8. Zur Theorie der L-Reihen mit allgemeinen Gruppencharakteren.- 9 Die gruppentheoretische Struktur der Diskriminanten algebraischer Zahlkörper.- Algebraic Number Theory.- 10. Über Einheiten relativ galoisscher Zahlkörper.- 11. Über die Bewertungen algebraischer Zahlkörper.- 12. Axiomatic Characterization of Fields by the Product Formula for Valuations.- 13. A Note on Axiomatic Characterization of Fields.- 14. Questions de base minimale dans la théorie des nombres algébriques.- 15. The Class-Number of Real Quadratic Fields.- 16. The Class-Number of Real Quadratic Number Fields.- 17. Representatives of the Connected Component of the Idèle Class Group.- Real Fields.- 18. Kennzeichnung des Körpers der reellen algebraischen Zahlen.- 19. Algebraische Konstruktion reeller Körper.- 20. Über die Zerlegung definiter Funktionen in Quadrate.- 21. Eine Kennzeichnung der reell abgeschlossenen Körper.- Algebra and Number Theory.- 22. Die Erhaltung der Kettensätze der Idealtheorie bei beliebigen endlichen Körpererweiterungen.- 23. Über einen Satz von Herrn J. H. Maclagan Wedderburn.- 24. Zur Theorie der hyperkomplexen Zahlen.- 25. Zur Arithmetik hyperkomplexer Zahlen.- 26. On the Sums of Two Sets of Integers.- 27. The Theory of Simple Rings.- 28. The Free Product of Groups.- 29. Linear Mappings and the Existence of a Normal Basis.- 30. Remarques concernant la théorie de Galois.- 31. A Note on Finite Ring Extensions.- 32. The Orders of the Linear Groups.- 33. The Orders of the Classical Simple Groups.- Topology.- 34. Theorie der Zöpfe.- 35. Zur Isotopic zweidimensionaler Flächen im R4.- 36. Theory of Braids.- 37. Braids and Permutations.- 38. Some Wild Cells and Spheres in Three-Dimensional Space.- 39. The Theory of Braids.- Miscellaneous.- 40. Ein mechanisches System mit quasiergodischen Bahnen.- 41. Coordinates in Affine Geometry.- 42. On the Independence of Line Integrals on the Path.- 43. On the Theory of Complex Functions.- 44. A Proof of the Krein-Milman Theorem.- General.- 45. The Influence of J. H. M. Wedderburn on the Development of Modern Algebra.- 46. Review of Bourbaki's Algebra.- 47. Contents and Methods of an Algebra Course.- 48. Die Bedeutung Hilberts für die moderne Mathematik.- 49. Zur Problemlage der Mathematik (lecture broadcast from RIAS).

Emil Artin was born in Vienna in 1898. He studied under G. Herglotz and got his PhD at the University of Leizpig in 1921. In July 1923, Artin obtained the Venia legendi for mathematics at Hamburg University and was appointed Extraordinarius in 1925 and Ordinarius in 1926, at the age of 28. For eleven years, Artin directed the activities of the Mathematical Seminar of Hamburg University together with Hecke and Blaschkethe. In fall 1937, Artin emigrated to the United States of America with his wife and family, where he taught at Notre Dame University for a year, thereafter at Indiana University, Bloomington, from 1938 until 1946 and finally at Princeton University from 1946 until 1958. Starting in fall 1958, he taught at Hamburg University again. In 1962, he died in Hamburg.

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