ENGLISH

Ideal theory

By D. G. Northcott

Book information

Publisher
Cambridge University Press
Year
2004
ISBN
9780521604833, 9780521058407, 0521604834, 0521058406
Open Library ID
OL7716158M
Language
english
Format
DJVU
Filesize
1 MB (1049482 bytes)
Series
Cambridge Tracts in Mathematics
Edition
CUP
Pages
118\120
Topic
Mathematics Algebra
Library
kolxoz
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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.

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