| 书目名称 | Commutative Algebra | | 副标题 | with a View Toward A | | 编辑 | David Eisenbud | | 视频video | http://file.papertrans.cn/231/230751/230751.mp4 | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several oth | | 出版日期 | Textbook 1995 | | 关键词 | Algebraic Geometry; algebra; algebraic geometry; category theory; cohomology; colimit; commutative algebra | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-5350-1 | | isbn_softcover | 978-0-387-94269-8 | | isbn_ebook | 978-1-4612-5350-1Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1995 |
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