Relative integral bases
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- by Lawrence C. Washington PDF
- Proc. Amer. Math. Soc. 56 (1976), 93-94 Request permission
Erratum: Proc. Amer. Math. Soc. 70 (1978), 92.
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
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