書目名稱 | Commutative Algebra |
副標題 | Volume II |
編輯 | Oscar Zariski,Pierre Samuel |
視頻video | http://file.papertrans.cn/231/230748/230748.mp4 |
叢書名稱 | Graduate Texts in Mathematics |
圖書封面 |  |
描述 | 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 ( |
出版日期 | Book 1960 |
關鍵詞 | Grad; algebra; algebraic geometry; commutative algebra; polynomial |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-29244-0 |
isbn_softcover | 978-3-662-27753-9 |
isbn_ebook | 978-3-662-29244-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
issn_series | 0072-5285 |
copyright | O. Zariski and P. Samuel 1960 |