International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 17641, 11 pages
doi:10.1155/IJMMS/2006/17641

Explicit decomposition of a rational prime in a cubic field

Şaban Alaca,1 Blair K. Spearman,2 and Kenneth S. Williams1

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

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

Copyright © 2006 Şaban Alaca et al. 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.

Abstract

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