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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Emil Artin
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Bull. Amer. Math. Soc. 73 (1967), 27-43
References
  • E. Artin, Quadratische Körper im Gebiete der höheren Kongruenzen. I, Math. Z. 19 (1924), no. 1, 153–206 (German). MR 1544651, DOI 10.1007/BF01181074
  • E. Artin, Über die Zetafunktionen gewisser algebraischer Zahlkörper, Math. Ann. 89 (1923), no. 1-2, 147–156 (German). MR 1512140, DOI 10.1007/BF01448095
    • 3. Emil Artin, Über eine neue Art von L-Reihen, Hamb. Abh. 3 (1923), 89-108. 4. Emil Artin, Über den zweiten Ergänzungssatz zum Reziprozitätsgesetz der l-ten Potenzreste im Körper kζ der l-ten Einheitswurzeln und in Oberkörpern von kζ(with H. Hasse), J. Reine Angew. Math. (1925), 143-148. 5. Emil Artin, Beweis des allgemeinen Reziprozitätsgesetzes, Hamb. Abh. 5 (1927), 353-363. 6. Emil Artin, Die beiden Ergänzungssätze zum Reziprozitätsgesetz der l(with H. Hasse), Hamb. Abh. 6 (1928), 146-162. 7. Emil Artin, Idealklassen in Oberkörpern und allgemeines Reziprozitäisgesetz, Hamb. Abh. 7 (1929), 46-51. 8. Emil Artin, Zur Theorie der L-Reihen mit allgemeinen Gruppencharakteren, Hamb. Abh. 8 (1930), 292-306. 9. Emil Artin, Die gruppentheoretische Struktur der Diskriminanten algebraischer Zahlkörper, J. Reine Angew. Math. 164 (1931), 1-11. Algebraic Number Theory 10. Emil Artin, Über Einheiten relativ galoisscher Zahlkörper, J. Reine Angew. Math (1932), 153-156. 11. Emil Artin, Über die Bewertungen algebraischer Zahlkörper, J. Reine Angew. Math. (1932), 157-159.
  • Emil Artin and George Whaples, Axiomatic characterization of fields by the product formula for valuations, Bull. Amer. Math. Soc. 51 (1945), 469–492. MR 13145, DOI 10.1090/S0002-9904-1945-08383-9
  • E. Artin and G. Whaples, A note on axiomatic characterization of fields, Bull. Amer. Math. Soc. 52 (1946), 245–247. MR 15382, DOI 10.1090/S0002-9904-1946-08549-3
  • E. Artin, Questions de base minimale dans la théorie des nombres algébriques, Algèbre et Théorie des Nombres., Colloques Internationaux du Centre National de la Recherche Scientifique, no. 24, Centre National de la Recherche Scientifique, Paris, 1950, pp. 19–20 (French). MR 0042450
  • N. C. Ankeny, E. Artin, and S. Chowla, The class-number of real quadratic fields, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 524–525. MR 43137, DOI 10.1073/pnas.37.8.524
  • N. C. Ankeny, E. Artin, and S. Chowla, The class-number of real quadratic number fields, Ann. of Math. (2) 56 (1952), 479–493. MR 49948, DOI 10.2307/1969656
  • Emil Artin, Representatives of the connected component of the idèle class group, Proceedings of the international symposium on algebraic number theory, Tokyo & Nikko, 1955, Science Council of Japan, Tokyo, 1956, pp. 51–54. MR 0082524
    • 18. Emil Artin, Kennzeichnung des Körpers der reellen algebraischen Zahlen, Hamb. Abh. 3 (1924), 319-323. 19. Emil Artin, Algebraische Konstruktion reeller Körper(with O. Schreier), Hamb. Abh. 5 (1926), 85-99. 20. Emil Artin, Über die Zerlegung definiter Funktionen in Quadrate, Hamb. Abh. 5 (1927), 100-115. 21. Emil Artin, Eine Kennzeichnung der reell abgeschlossenen Körper(with O. Schreier), Hamb. Abh. 5 (1927), 225-231. 22. Emil Artin, Die Erhaltung der Kettensätze der Idealtheorie bei beliebigen endlichen Körpererweiterungen (with B. L. van der Waerden), Nachr. Akad. Wiss. Göttingen Math. Phys. K1. II (1926), 23-27. 23. Emil Artin, Über einen Satz von Herm J. H. Maclagan Wedderburn, Hamb. Abh. 5 (1928), 245-250. 24. Emil Artin, Zur Theorie der hyperkomplexen Zahlen, Hamb. Abh. 5 (1928), 251-260. 25. Emil Artin, Zur Arithmetik hyperkomplexer Zahlen, Hamb. Abh. 5 (1928), 261-289.
  • Emil Artin and Peter Scherk, On the sum of two sets of integers, Ann. of Math. (2) 44 (1943), 138–142. MR 7909, DOI 10.2307/1968760
  • Emil Artin and George Whaples, The theory of simple rings, Amer. J. Math. 65 (1943), 87–107. MR 7391, DOI 10.2307/2371775
  • Emil Artin, The free product of groups, Amer. J. Math. 69 (1947), 1–4. MR 19612, DOI 10.2307/2371648
  • Emil Artin, Linear mappings and the existence of a normal basis, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 1–5. MR 0022837
  • E. Artin, Remarques concernant la théorie de Galois, Algèbre et Théorie des Nombres., Colloques Internationaux du Centre National de la Recherche Scientifique, no. 24, Centre National de la Recherche Scientifique, Paris, 1950, pp. 161–162 (French). MR 0042393
  • Emil Artin and John T. Tate, A note on finite ring extensions, J. Math. Soc. Japan 3 (1951), 74–77. MR 44509, DOI 10.2969/jmsj/00310074
  • Emil Artin, The orders of the linear groups, Comm. Pure Appl. Math. 8 (1955), 355–365. MR 70642, DOI 10.1002/cpa.3160080302
  • Emil Artin, The orders of the classical simple groups, Comm. Pure Appl. Math. 8 (1955), 455–472. MR 73601, DOI 10.1002/cpa.3160080403
    • 34. Emil Artin, Theorie der Zöpfe, Hamb. Abh. 4 (1925), 47-72. 35. Emil Artin, Zur Isotopie zweidimensionaler Flächen im R, Hamb, Abh. 4 (1925), 174-177.
  • E. Artin, Theory of braids, Ann. of Math. (2) 48 (1947), 101–126. MR 19087, DOI 10.2307/1969218
  • E. Artin, Braids and permutations, Ann. of Math. (2) 48 (1947), 643–649. MR 20989, DOI 10.2307/1969131
  • Ralph H. Fox and Emil Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. (2) 49 (1948), 979–990. MR 27512, DOI 10.2307/1969408
  • Emil Artin, The theory of braids, Amer. Sci. 38 (1950), 112–119. MR 32990
    • 40. Emil Artin, Ein mechanisches System mit quasiergodischen Bahnen, Abh. Math. Sem. Univ. Hamburg 3 (1924), 170-175.
  • Emil Artin, Coordinates in affine geometry, Rep. Math. Colloquium (2) 2 (1940), 15–20. MR 5626
  • Emil Artin, On the independence of line integrals on the path, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 489–490. MR 5372, DOI 10.1073/pnas.27.10.489
  • Emil Artin, On the theory of complex functions, Notre Dame Mathematical Lectures, no. 4, University of Notre Dame, Notre Dame, Ind., 1944, pp. 55–70. MR 0011118
    • 44. Emil Artin, A proof of the Krein-Milman theorem, Picayune Sentinel, University of Indiana, 1950 (a letter to M. Zorn). 45. Emil Artin, The influence of J. H. M. Wedderburn on the development of modern algebra, Bull. Amer. Math. Soc. 56 (1950), 65-72. 46. Emil Artin, Review of Bourbaki’s Algebra, Bull. Amer. Math. Soc. 59 (1953), 474-479. 47. Emil Artin, Contents and methods of an algebra course, Tata Institute, Bombay, 1960, 5-12. 48. Emil Artin, Die Bedeutung Hilberts für die moderne Mathematik, Jahrbuch Akad. Wiss. Göttingen, 1962 (address given for Hilbert’s 100th birthday). 49. Emil Artin, Zur Problemlage der Mathematik (lecture broadcast from RIAS). 50. Emil Artin, Einführung in die Theorie der Gammafunktion, Hamburger mathematische Einzelschriften 1. Heft, 1931. 51. Emil Artin, Galois Theory, Notre Dame Math. Lectures No. 2, 1942, 82 pp. 52. Emil Artin, Galoische Theorie, Leipzig, 1959; (a translation and expansion of the preceding item).
  • Emil Artin, Algebra with Galois theory, Courant Lecture Notes in Mathematics, vol. 15, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2007. Notes by Albert A. Blank; Reprint of the 1947 original [Modern higher algebra. Galois theory, Courant Inst. Math. Sci., New York]. MR 2353054, DOI 10.1090/cln/015
    • 54. Emil Artin, Rings with minimum condition(with C. J. Nesbitt and R. M. Thrall), Michigan, 1948. 55. Emil Artin, Algebraic numbers and algebraic functions, (Notes by I. Adamson), New York University, 1950. 56. Emil Artin, Modern developments in algebra, (Notes by R. Stoll), Boulder summer conference, 1953. 57. Emil Artin, Selected topics in modern algebra, Summer conference at University of North Carolina, 1954. 58. Emil Artin, Elements of algebraic geometry, (Notes by G. Bachman), New York University, 1955. 59. Emil Artin, Calculus and analytic geometry, (Notes by G. B. Seligman), Princeton 1957. 60. Emil Artin, Algebraic number theory, (Notes by G. Wurges), Göttingen, 1956.
  • E. Artin, Geometric algebra, Interscience Publishers, Inc., New York-London, 1957. MR 0082463
    • 62. Emil Artin, Class field theory(with J. T. Tate), Harvard, 1961. 63. Emil Artin, and Hel Braun, Vorlesungen über algebraische Topologie, (Notes by A. Thedy), Mathematisches Seminar, Universität Hamburg.
  • Henri Cartan, Emil Artin, Abh. Math. Sem. Univ. Hamburg 28 (1965), 1–5. MR 174456, DOI 10.1007/BF02993132
  • Claude Chevalley, Emil Artin [1898–1962], Bull. Soc. Math. France 92 (1964), 1–10. MR 166065, DOI 10.24033/bsmf.1603
  • Hans Zassenhaus, Emil Artin, his life and his work, Notre Dame J. Formal Logic 5 (1964), 1–9. MR 174457
Additional Information
  • Journal: Bull. Amer. Math. Soc. 73 (1967), 27-43
  • DOI: https://doi.org/10.1090/S0002-9904-1967-11624-0
  • MathSciNet review: 0202550