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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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On generalized quaternions
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by Gordon Pall PDF
Trans. Amer. Math. Soc. 59 (1946), 280-332 Request permission
References
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  • H. Brandt, Idealtheorie in Quaternionenalgebren, Math. Ann. 99 (1928), no. 1, 1–29 (German). MR 1512436, DOI 10.1007/BF01459083
    • L. E. Dickson, (a) Algebras and their arithmetics, Chicago, 1923; (b) Algebren und ihre Zahlentheorie, Zürich, 1927; (c) Studies in the theory of numbers, Chicago, 1930. H. Hasse, Über die Äquivalenz quadratischer Formen in Körper der rationalen Zahlen, Journal für Mathematik vol. 152 (1923) pp. 205-224. K. Hensel, Zahlentheorie, Berlin and Leipzig, 1913. C. Hermite, (a) Sur la théorie des formes quadratiques, Journal für Mathematik vol. 47 (1854) pp. 307-342; (b) vol. 41 (1850) p. 192. A. Hurwitz, Vorlesungen über die Zahlentheorie der Quaternionen, Berlin, 1919.
  • Burton W. Jones and Gordon Pall, Regular and semi-regular positive ternary quadratic forms, Acta Math. 70 (1939), no. 1, 165–191. MR 1555447, DOI 10.1007/BF02547347
  • A. Korkine and G. Zolotareff, Sur les formes quadratiques positives quaternaires, Math. Ann. 5 (1872), no. 4, 581–583 (French). MR 1509795, DOI 10.1007/BF01442912
  • Claiborne G. Latimer, The classes of integral sets in a quaternion algebra, Duke Math. J. 3 (1937), no. 2, 237–247. MR 1545983, DOI 10.1215/S0012-7094-37-00317-X
  • U. V. Linnik, On certain results relating to positive ternary quadratic forms, Rec. Math. [Mat. Sbornik] N. S. 5 (47) (1939), 453–471 (English, with Russian summary). MR 0002346
  • Gordon Pall, On the factorization of generalized quaternions, Duke Math. J. 4 (1938), no. 4, 696–704. MR 1546090, DOI 10.1215/S0012-7094-38-00461-2
    • H. J. S. Smith, Collected mathematical papers, Oxford, 1894.
  • S. B. Townes, Table of reduced positive quaternary quadratic forms, Ann. of Math. (2) 41 (1940), 57–58. MR 830, DOI 10.2307/1968819
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Additional Information
  • © Copyright 1946 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 59 (1946), 280-332
  • MSC: Primary 10.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1946-0018702-X
  • MathSciNet review: 0018702