International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 69, Pages 4347-4362
doi:10.1155/S0161171203206360
On chains of centered valuations
Rachid Chibloun
Département de Mathématiques et Informatique, Université Moulay Ismail, Béni M'hamed, Méknès BP 4010, Morocco
Abstract
We study chains of centered valuations of a domain A and chains of centered valuations of A [X1,…,Xn] corresponding to valuations of A. Finally, we make some applications to chains of valuations centered on the same ideal of A [X1,…,Xn] and extending the same valuation of A.