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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Relative integral bases
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by Lawrence C. Washington PDF
Proc. Amer. Math. Soc. 56 (1976), 93-94 Request permission

Abstract:

We give necessary and sufficient conditions for certain quadratic extensions of imaginary quadratic fields to have relative integral bases.
References
  • 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
  • Genjiro Fujisaki, Some examples of number fields without relative integral bases, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 21 (1974), 93–95. MR 345931
  • Serge Lang, Algebraic number theory, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0282947
  • Robert MacKenzie and John Scheuneman, A number field without a relative integral basis, Amer. Math. Monthly 78 (1971), 882–883. MR 288094, DOI 10.2307/2316485
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 56 (1976), 93-94
  • MSC: Primary 12A35
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0399041-9
  • MathSciNet review: 0399041