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Commutative ring theory

Matsumura, Hideyuki, (1930-)

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Commutative ring theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Commutative ring theory/ Hideyuki Matsumura ; translated by M. Reid.
作者:	Matsumura, Hideyuki,
其他作者:	Reid, M.
出版者:	Cambridge :Cambridge University Press, : 1986.,
面頁冊數:	xiii, 320 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Commutative rings. -
電子資源:	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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245 1 0 $a Commutative ring theory $h [electronic resource] / $c Hideyuki Matsumura ; translated by M. Reid.
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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
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830 0 $a Cambridge studies in advanced mathematics ; $v 8. $3 3470722
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