Tight Closure in Equal Characteristic Zero: With an Introduction to the Characteristic P Theory

Erscheinungsjahr 2005
ISBN: 978-0-387-40323-6
Verlag: Springer

Buch, Englisch, 235 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Springer Monographs in Mathematics

The main objective of this monograph is to lay the foundations of

tight closure theory for Noetherian rings containing a field of

characteristic 0. It has been more than ten years since the authors

first began work on tight closure. In that time they have published

many articles on the topic. This remarkably potent method has led to a

number of generalizations of old theorems, improved proofs, and a host

of beautiful new results. This monograph will serve as a marvelous

introduction to tight closure for both researchers and graduate

students in commutative algebra.

Autoren/Hrsg.

Mel, Hochster

Huneke, Craig

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Elementare Algebra

Inhaltsverzeichnis

Preliminaries * Affine Algebras * Arbitrary Noetherian Algebras over a

Field * Further Properties of Tight Closure