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＜電子ブック＞
Commutative Algebra : Volume II / by Oscar Zariski, Pierre Samuel
(Graduate Texts in Mathematics. ISSN:21975612 ; 29)

版	1st ed. 1960.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1960
大きさ	X, 416 p : online resource
著者標目	*Zariski, Oscar author Samuel, Pierre author SpringerLink (Online service)
件　名	LCSH:Commutative algebra LCSH:Commutative rings FREE:Commutative Rings and Algebras
一般注記	Valuation Theory -- Polynomial and Power Series Rings -- Local Algebra This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geom­ etry, the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered through­ out the exposition. Thus, this volume can be used in part as an introduc­ tion to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebro-geometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including § 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved HTTP:URL=https://doi.org/10.1007/978-3-662-29244-0

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