M-adic perturbations in Noetherian local rings
Abstract
The purpose of this thesis is to develop methods for the study m-adic stability in an arbitrary Noetherian local ring. A key role is played by the Artin-Rees lemma. Using these techniques we establish new results about the continuity of Hilbert-Samuel and Hilbert- Kunz multiplicities under m-adic perturbations.
Degree
Ph. D.