International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 70, Pages 4421-4434
doi:10.1155/S0161171203205378
On the resolvent of an ideal and some applications
Driss Bouziane
and Abdelilah Kandri Rody
Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech BP 2390, Morocco
Abstract
We give an algorithm to compute a resolvent of an algebraic variety without computing its irreducible components; we decompose the radical of an ideal into prime ideals and we test the primality of a regular ideal.