Introduction to Commutative Algebra, Student Economy Edition

ISBN-13: 9780367319885 / Angielski / Twarda / 2019 / 140 str.

Michael Atiyah

Opis

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.

Spis treści

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

O autorze

Atiyah, Michael