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Unformatted text preview: The CRing Project A collaborative, open source textbook on commutative algebra. http://people.fas.harvard.edu/ ~ amathew/cr.html The following people have contributed to this work. Shishir Agrawal Eva Belmont Zev Chonoles Rankeya Datta Anton Geraschenko Sherry Gong Fran cois Greer Darij Grinberg Aise Johan de Jong Adeel Ahmad Khan Holden Lee Georey Lee Akhil Mathew Ryan Reich William Wright Moor Xu Introduction This is a massively collaborative, open source textbook on commutative algebra. The project is currently in its infancy, and needs contributions! The latest version of this document, along with its L A T E X source code, is available at http://people.fas.harvard.edu/ ~ amathew/cr.html . License Copyright (C) 2010 CRing Project. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no FrontCover Texts, and no BackCover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. Prerequisites This book is intended to be accessible to undergraduates. The prerequisite is a basic acquaintance with modern algebra. While even the notion of a ring is introduced from scratch, it is done so rather rapidly, and the reader is advised to consult another source. In addition, we do not hesitate to use the language of categories, which is developed in Chapter 0. The book is intended to provide preparation to study textbooks on algebraic geometry such as [Har77]. The project This project was started by several undergraduates in an attempt to create a collaborative, open source textbook on commutative algebra. It started with a collection of class notes liveT E Xed by Akhil Mathew taken in a course taught by Jacob Lurie at Harvard in the fall of 2010. The idea for the present project came from the Stacks project [dJea10]. The main website for this project is http://people.fas.harvard.edu/ ~ amathew/cr. html . In addition, there is a git repository at http://cring.adeel.ru . The git repository provides slightly newer versions of the source code and contains a log of revisions. Discussion of the CRing project can happen at the blog, http://cringproject. wordpress.com . 3 Corrections Please email corrections to cring.project@gmail.com . Contributions The following people have contributed to this work. Shishir Agrawal Eva Belmont Zev Chonoles Rankeya Datta Anton Geraschenko Sherry Gong Fran cois Greer Darij Grinberg Aise Johan de Jong Adeel Ahmad Khan Holden Lee Georey Lee Akhil Mathew Ryan Reich William Wright Moor Xu A list of contributions submitted via email is be maintained at http://people.fas....
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This note was uploaded on 10/26/2011 for the course MATH 8020 taught by Professor Clark during the Summer '11 term at University of Georgia Athens.
 Summer '11
 Clark
 Algebra, The American, Category theory, Rings, Functor, tensor product, Contravariant functors, regular local rings

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