Galois extensions in which every element with regular trace is a normal basis element
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- by Carl C. Faith
- Proc. Amer. Math. Soc. 9 (1958), 222-229
- DOI: https://doi.org/10.1090/S0002-9939-1958-0095859-X
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References
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- Carl C. Faith, Extensions of normal bases and completely basic fields, Trans. Amer. Math. Soc. 85 (1957), 406–427. MR 87632, DOI 10.1090/S0002-9947-1957-0087632-7 —, Normal extensions in which every element with nonzero trace is a normal basis element, Bull. Amer. Math. Soc. vol. 63 (1957) pp. 95-96.
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264
- Friedrich Kasch, Über den Endomorphismenring eines Vektorraumes und den Satz von der Normalbasis, Math. Ann. 126 (1953), 447–463 (German). MR 59897, DOI 10.1007/BF01343176
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- Sam Perlis, Normal bases of cyclic fields of prime-power degree, Duke Math. J. 9 (1942), 507–517. MR 7005
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 222-229
- MSC: Primary 16.00; Secondary 13.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0095859-X
- MathSciNet review: 0095859