Commutative Algebra Volume II (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: Oscar Zariski

• Language: English

• Binding: Paperback

• ISBN: 9780486838601

• Pages: 432

• Dimensions: 9.0 x 5.9 x 1.1 inches

About The Book

Volume II: Algebraic Geometry by Oscar Zariski is the second installment in a two-book series that builds upon the foundational concepts introduced in Volume I. This volume delves deeper into field theory and the ideal theory of Noetherian rings and Dedekind domains, while emphasizing their connections to algebraic geometry. It serves as an essential resource for understanding the arithmetical foundations of algebraic geometry, providing a practical introduction to key concepts in the field.

The book begins with a chapter on the properties of places, followed by a discussion on the classical properties of polynomial and power series rings and their applications in algebraic geometry. The final chapter explores the theory of local rings, which forms the algebraic basis for studying algebraic and analytical varieties on a local scale. Several helpful appendices are included to supplement the main content.

This text is ideal for graduate students and researchers in mathematics, particularly those interested in algebraic geometry and its underlying algebraic structures. It offers a thorough exploration of the topics while providing clarity and practical examples, making it an indispensable reference for anyone studying or working in the field.