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Commutative ring theory

Matsumura, Hideyuki, (1930-)

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Commutative ring theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Commutative ring theory/ Hideyuki Matsumura ; translated by M. Reid.
Author:	Matsumura, Hideyuki,
other author:	Reid, M.
Published:	Cambridge :Cambridge University Press, : 1986.,
Description:	xiii, 320 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Commutative rings. -
Online resource:	https://doi.org/10.1017/CBO9781139171762
ISBN:	9781139171762

Commutative ring theory
Matsumura, Hideyuki,1930-

Commutative ring theory[electronic resource] /Hideyuki Matsumura ; translated by M. Reid. - Cambridge :Cambridge University Press,1986. - xiii, 320 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;8. - Cambridge studies in advanced mathematics ;8..

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

In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.

ISBN: 9781139171762Subjects--Topical Terms:

606074
Commutative rings.

LC Class. No.: QA251.3 / .M37213 1986

Dewey Class. No.: 512.4

Commutative ring theory
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020 $a 9780521259163 $q (hardback)
020 $a 9780521367646 $q (paperback)
035 $a CR9781139171762
040 $a UkCbUP $b eng $c UkCbUP $d GP
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050 4 $a QA251.3 $b .M37213 1986
082 0 4 $a 512.4 $2 19
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100 1 $a Matsumura, Hideyuki, $d 1930- $3 700249
240 1 0 $a Kakankanron. $l English
245 1 0 $a Commutative ring theory $h [electronic resource] / $c Hideyuki Matsumura ; translated by M. Reid.
260 $a Cambridge : $b Cambridge University Press, $c 1986.
300 $a xiii, 320 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 8
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.
650 0 $a Commutative rings. $3 606074
700 1 $a Reid, M. $3 700248
830 0 $a Cambridge studies in advanced mathematics ; $v 8. $3 3470722
856 4 0 $u https://doi.org/10.1017/CBO9781139171762