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$p$ -integral bases of a cubic field

Author(s): Saban Alaca
Journal: Proc. Amer. Math. Soc. 126 (1998), 1949-1953.
MSC (1991): Primary 11R16, 11R29
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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:

1.: S. Alaca, $p$ -Integral Bases of Algebraic Number Fields, submitted for publication.
2.: P. Llorente and E. Nart, Effective determination of the decomposition of the rational primes in a cubic field, Proc. Amer. Math. Soc. 87 (1983), 579-585. MR 84d:12003


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