International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 10, Pages 17641, 11 p.
doi:10.1155/IJMMS/2006/17641
Explicit decomposition of a rational prime in a cubic field
Şaban Alaca1
, Blair K. Spearman2
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
Abstract
We give the explicit decomposition of the principal ideal 〈p〉 (p prime) in a cubic field.