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Ideal theory

Northcott, D. G.

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Ideal theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Ideal theory/ by Douglas G. Northcott.
Author:	Northcott, D. G.
Published:	Cambridge :Cambridge University Press, : 1953.,
Description:	viii, 111 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Algebraic fields. -
Online resource:	https://doi.org/10.1017/CBO9780511565908
ISBN:	9780511565908

Ideal theory
Northcott, D. G.

Ideal theory[electronic resource] /by Douglas G. Northcott. - Cambridge :Cambridge University Press,1953. - viii, 111 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;42. - Cambridge tracts in mathematics ;42..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511565908Subjects--Topical Terms:

532032
Algebraic fields.

LC Class. No.: QA247 / .N87 1953

Dewey Class. No.: 512.81

Ideal theory
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100 1 $a Northcott, D. G. $q (Douglas Geoffrey) $3 3470587
245 1 0 $a Ideal theory $h [electronic resource] / $c by Douglas G. Northcott.
260 $a Cambridge : $b Cambridge University Press, $c 1953.
300 $a viii, 111 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 42
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Algebraic fields. $3 532032
830 0 $a Cambridge tracts in mathematics ; $v 42. $3 3470588
856 4 0 $u https://doi.org/10.1017/CBO9780511565908