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Undergraduate Commutative Algebra 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Reid, Miles 作者

Cambridge University Press

译者

1995-11 出版日期

168 页数

$ 47.46 价格

Pap

London Mathematical Society Student Texts 丛书系列

9780521458894 图书编码

Undergraduate Commutative Algebra 在线电子书图书标签: 数学其余代数7 ma commutative_algebra Mathematics

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Undergraduate Commutative Algebra 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Undergraduate Commutative Algebra 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Undergraduate Commutative Algebra 在线电子书图书描述

Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.

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