$p$-integral bases of a cubic field
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- by Şaban Alaca PDF
- Proc. Amer. Math. Soc. 126 (1998), 1949-1953 Request permission
Abstract:
A $p$-integral basis of a cubic field $K$ is determined for each rational prime $p$, and then an integral basis of $K$ and its discriminant $d(K)$ are obtained from its $p$-integral bases.References
- Ş. Alaca, $p$-Integral Bases of Algebraic Number Fields, submitted for publication.
- Pascual Llorente and Enric Nart, Effective determination of the decomposition of the rational primes in a cubic field, Proc. Amer. Math. Soc. 87 (1983), no. 4, 579–585. MR 687621, DOI 10.1090/S0002-9939-1983-0687621-6
Additional Information
- Şaban Alaca
- Affiliation: Centre for Research in Algebra and Number Theory, Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
- Email: salaca@math.carleton.ca
- Received by editor(s): December 26, 1996
- Communicated by: William W. Adams
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1949-1953
- MSC (1991): Primary 11R16, 11R29
- DOI: https://doi.org/10.1090/S0002-9939-98-04422-0
- MathSciNet review: 1459102