Oscar Zariski; Pierre Samuel Commutative Algebra 9783662277539

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Автор: Oscar Zariski; Pierre Samuel
Название: Commutative Algebra
ISBN: 9783662277539
Издательство: Springer
Классификация: ISBN-10: 3662277530
Обложка/Формат: Paperback
Страницы: 416
Вес: 0.60 кг.
Дата издания: 01.01.1960
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 22
Основная тема: Mathematics
Подзаголовок: Volume II
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.

Commutative Algebra, Oscar Zariski; Pierre Samuel