Commutative Algebra, V1

""Commutative Algebra, Volume 1"" is a comprehensive textbook written by Oscar Zariski, a renowned mathematician who made significant contributions to algebraic geometry. The book is an introduction to the fundamental concepts of commutative algebra, which is a branch of abstract algebra that studies commutative rings and their properties. The book is divided into three parts. The first part covers the basic theory of commutative rings, including polynomial rings, ideals, and modules. The second part focuses on the theory of local rings and their properties, such as completions and henselian rings. The third part covers the theory of algebraic varieties, which are geometric objects defined by polynomial equations.Throughout the book, Zariski emphasizes the geometric intuition behind the algebraic concepts, making it accessible to both mathematicians and students with a background in algebra. The book also includes numerous examples and exercises to help readers develop their understanding of the material.Overall, ""Commutative Algebra, Volume 1"" is an essential resource for anyone interested in the study of commutative algebra and algebraic geometry. It provides a solid foundation for further study in these areas and is a valuable reference for researchers in the field.Graduate Texts In Mathematics, No. 28.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.