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Cambridge Tracts in Mathematics : Ideal Theory Series Number 42 - D. G. Northcott

Cambridge Tracts in Mathematics

Ideal Theory Series Number 42

Paperback

Published: 2nd August 2004
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Ideal theory is important not only for the intrinsic interest and purity of its logical structure but because it is a necessary tool in many branches of mathematics. In this introduction to the modern theory of ideals, Professor Northcott assumes a sound background of mathematical theory but no previous knowledge of modern algebra. After a discussion of elementary ring theory, he deals with the properties of Noetherian rings and the algebraic and analytical theories of local rings. In order to give some idea of deeper applications of this theory the author has woven into the connected algebraic theory those results which play outstanding roles in the geometric applications.

AuthorÆs preface
Preliminaries
The primary decomposition
Residue rings and rings of quotients
Some fundamental properties of noetherian rings
The algebraic theory of local rings
The analytic theory of local rings
Notes
References
Index of definitions
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521604833
ISBN-10: 0521604834
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 120
Published: 2nd August 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 21.3 x 16.6  x 0.8
Weight (kg): 0.17