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Titlebook: Commutative Algebra; with a View Toward A David Eisenbud Textbook 1995 Springer Science+Business Media New York 1995 Algebraic Geometry.alg

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書(shū)目名稱(chēng)Commutative Algebra
副標(biāo)題with a View Toward A
編輯David Eisenbud
視頻videohttp://file.papertrans.cn/231/230751/230751.mp4
叢書(shū)名稱(chēng)Graduate Texts in Mathematics
圖書(shū)封面Titlebook: Commutative Algebra; with a View Toward A David Eisenbud Textbook 1995 Springer Science+Business Media New York 1995 Algebraic Geometry.alg
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
關(guān)鍵詞Algebraic Geometry; algebra; algebraic geometry; category theory; cohomology; colimit; commutative algebra
版次1
doihttps://doi.org/10.1007/978-1-4612-5350-1
isbn_softcover978-0-387-94269-8
isbn_ebook978-1-4612-5350-1Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1995
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書(shū)目名稱(chēng)Commutative Algebra影響因子(影響力)




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https://doi.org/10.1007/978-94-010-3629-0m a sequence of ideals $R = I_0supset I_1supset I_2supset ... { m satisfying} I_iJ_jsupset I_{i+j}quad { m for all} i,j.$ A third such construction, the Rees algebra, is treated at the end of the next chapter, and sheds some light on the results we shall prove about the associated graded ring. Chapt
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Soviet Schooling in the Second World Wareory before, you may find it difficult to understand the material in detail. I suggest that you browse through Chapter 8 without worrying about the details during the first reading; I hope that it will tell you something of what is significant in the theory. In Chapter 9 I have begun the subject aga
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Imposing a System: The New Territoriesoved earlier in this book, before we had the language to describe them: the characterization of dimension zero from Chapter 2 and the properties of integral maps (relative dimension zero) from Chapter 4. To make this chapter and what follows independent of the introductory Chapter 8, we repeat a few
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World War – Without the Russianstained in a proper principal ideal has codimension 0. .: If on the contrary, . ? . ? (.) in a ring ., with . and . prime, then factoring out . we can assume that . = 0, and thus that . is a domain. If . ∈ ., then . = . for some ., and since . ? . it follows that . ∈ .; thus . = .. By Corollary 4.7,
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