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International Journal of Mathematics and Mathematical Sciences
Volume 2006, Article ID 17641, 11 pages

Explicit decomposition of a rational prime in a cubic field

1Centre for Research in Algebra and Number Theory, School of Mathematics and Statistics, Carleton University Ottawa, Ottawa, ON, Canada K1S 5B6
2Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC, Canada V1V 1V7

Received 19 June 2005; Revised 19 February 2006; Accepted 12 March 2006

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We give the explicit decomposition of the principal ideal p (p prime) in a cubic field.