Introduction To Commutative Algebra, Student Economy Edition

Name: Introduction To Commutative Algebra, Student Economy Edition
Brand: CRC Press

CRC Press

This book is designed to be read by students who have had a first elementary course in general algebra. It provides a common generalization of the primes of arithmetic and the points of geometry. The book explains the various elementary operations which can be performed on ideals. > This book is designed to be read by students who have had a first elementary course in general algebra. It provides a common generalization of the primes of arithmetic and the points of geometry. The book explains the various elementary operations which can be performed on ideals. > Introduction -- Notation and Terminology -- Rings and Ideals -- Modules -- Rings and Modules of Fractions -- Primary Decomposition -- Integral Dependence and Valuations -- Chain Conditions -- Noetherian Rings -- Artin Rings -- Discrete Valuation Rings and Dedekind Domains -- Completions -- Dimension Theory