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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Locally compact vector spaces and algebras over discrete fields
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by Seth Warner PDF
Trans. Amer. Math. Soc. 130 (1968), 463-493 Request permission
References
    N. Bourbaki, Algèbre, Hermann, Paris, 1950, Chapters 4-5. —, Topologie générale, 3rd ed., Hermann, Paris, 1961, Chapters 1-2. —, Topologie générale, 3rd ed., Hermann, Paris, 1960, Chapters 3-4. —, Topologie générale, 2nd ed., Hermann, Paris, 1958, Chapter 9. —, Topologie générale, 2nd ed., Hermann, Paris, 1961, Chapter 10. —, Espaces vectoriels topologiques, Hermann, Paris, 1953, Chapters 1-2. J. Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl. 27 (1948), 1-86. Nathan Jacobson, Structure of rings, Colloq. Publ., Vol. 37, Amer. Math. Soc., Providence, R. I., 1956. Irving Kaplansky, Topological methods in valuation theory, Duke Math. J. 14 (1947), 527-541. —, Locally compact rings, Amer. J. Math. 70 (1948), 447-459. John L. Kelley, General topology, Van Nostrand, Princeton, N. J., 1955. Yosikazu Otobe, On locally compact fields, Japan. J. Math. 19 (1945), 189-202. L. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1946. Seth Warner, Modern algebra, Vol. I, Prentice-Hall, Englewood Cliffs, N. J., 1965. —, Modern algebra, Vol. II, Prentice-Hall, Englewood Cliffs, N. J., 1965. —, Locally compact simple rings having minimal left ideals, Trans. Amer. Math. Soc. 125 (1966), 395-405. Leopoldo Nachbin, On strictly minimal topological division rings, Bull. Amer. Math. Soc. 55 (1949), 1128-1136.
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 130 (1968), 463-493
  • MSC: Primary 46.01; Secondary 16.00
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0223853-5
  • MathSciNet review: 0223853