Introduction to commutative algebra [by] M. F. Atiyah [and] I. G. Macdonald.

By:

Atiyah, Michael Francis, , 1929-

Contributor(s):

Macdonald, I. G . (Ian Grant) [joint author.]

Material type: Text

TextSeries: Addison-Wesley series in mathematicsPublication details: Reading, Mass. , Addison-Wesley Pub. Co . [1969]Description: viii, 128 p . 25 cmISBN:

9781138329607

Subject(s):

DDC classification:

512.44 ATI

Online resources:

http://math.univ-lyon1.fr/~mathieu/CoursM2-2020/AMD-ComAlg.pdf

Contents:

* 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

Summary: 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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Project book	CUTN Central Library Sciences	Non-fiction	512.44 ATI (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	31/01/2024	48838

Bibliography: p. viii.

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.

There are no comments on this title.

to post a comment.