Publisher's Synopsis
The main objective of this monograph is to lay the foundations oftight closure theory for Noetherian rings containing a field ofcharacteristic 0. It has been more than ten years since the authorsfirst began work on tight closure. In that time they have publishedmany articles on the topic. This remarkably potent method has led to anumber of generalizations of old theorems, improved proofs, and a hostof beautiful new results. This monograph will serve as a marvelousintroduction to tight closure for both researchers and graduatestudents in commutative algebra.
