書誌事項

Introduction to commutative algebra

M.F. Atiyah, I.G. MacDonald

(Addison-Wesley series in mathematics)(Advanced book program)

Westview Press, c1969

  • : pbk
  • : student economy ed

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注記

Includes index

内容説明・目次

巻冊次

: pbk ISBN 9780201407518

内容説明

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.

目次

* Introduction * 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
巻冊次

: student economy ed ISBN 9780813350189

内容説明

Westview Press is pleased to offer a new, paperback Student Economy Edition of our best-selling title, Introduction To Commutative Algebra. This Student Economy Edition contains the same material as the original Introduction To Commutative Algebra (ISBN: 9780201407518)- the same text, the same equations, and the same page numbers- and is available to own for about the same price as renting the print book.This book grew out of a course of lectures given to third year undergraduates at Oxford University, and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.

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