Commutative Algebra, 1

Name: Commutative Algebra, 1
Brand: Springer, Berlin
SKU: 9783662277539
Price: 498.99 RON
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Volume II

Autor: Oscar Zariski, Pierre Samuel

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Editura: Springer, Berlin

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This second volume of our treatise on commutative algebra deals largely with three basic topics, whi...

Informații despre carte

Autor

Oscar Zariski, Pierre Samuel

Limbă

engleză

Legare

Carte - Carte broșată

Pagini

416

EAN

9783662277539

ISBN

3662277530

Enbook ID

02271068

Editura

Springer, Berlin

Greutate

601

Dimensiuni

155 x 235 x 17

Descriere completă

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.

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Commutative Algebra, 1

Volume II

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