株式会社極東書店トップ ＞ 商品一覧 ＞ (Mostly) Commutative Algebra. 1st ed. 2021.
商品詳細
(Mostly) Commutative Algebra. 1st ed. 2021.
・ISBN 978-3-030-61594-9 paper EUR 49.99
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| 著者・編者 | Chambert-Loir, Antoine, |
|---|---|
| シリーズ | Universitext |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2021 |
| ページ数 | 466 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2989＞ |
解説
This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry.
More than 300 exercises will allow the reader to deepen his understanding of the subject.
The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.