-integral bases of a cubic field
Abstract: A -integral basis of a cubic field is determined for each rational prime , and then an integral basis of and its discriminant are obtained from its -integral bases.
- S. Alaca, -Integral Bases of Algebraic Number Fields, submitted for publication.
- 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
Affiliation: Centre for Research in Algebra and Number Theory, Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
Keywords: Cubic field, $p$-integral basis, integral basis, discriminant
Received by editor(s): December 26, 1996
Communicated by: William W. Adams
Article copyright: © Copyright 1998 American Mathematical Society