
Commutative Algebra
…commutative algebra is a lot like topology, only backwards.
 John Baez
 Commutative Rings Tsit Yuen Lam Math 274 University Of California Berkeley LiveTeXesd by Anton Geraschenko Fall 2006 These notes are part of a remarkable online project by Anton Geraschenko, formerly a graduate student in mathematics at the University of California at Berkeley, now a software developer at Microsoft. Geraschenko began to preach the Gospel of LaTex while attending graduate courses there and eventually compiled an impressive collection of online lecture notes he "Live Tex"ed during the classes. The notes are incredibly detailed, beautifully formatted permanent transcripts of these courses and as diverse in subject matter and style as the professors at Berkeley who delivered
 the original verbal presentations. Let's hope he maintains this site and if he can't,I'd be happy to give them a home. The set of notes living at this particular URL are composed from T.Y. Lam's graduate course in commutative algebra given in 2006. You'd expect such a course given by Lam to be curt
 and challenging but algebraically deep and wonderfully comprehensible. It is indeed all that and moreit presumes a strong background in graduate algebra a la Lang the graduate students at Berkeley are noted for. It presents commutative algebra as just thatthe branch of algebra dealing with commutative structures such as 2 sided ideals and Rmodules over commutative rings and it does so in a completely modern vein. If you've had a good graduate algebra course, you definitely should look at these notes.We'll discuss the others Geraschenko has posted by subject, but really all of them are well worth downloading for the serious graduate student and he's to be thanked for making them all available. They are a shining example of the wonderful possibilities of Live Texing of lectures.
 Commutative Algebra Thomas Markwig University of Kaiserslautern
November 21, 2012  INTRODUCTION TO COMMUTATIVE RINGS THOMAS J. HAINES University of Maryland
 Commutative Algebra I Mel Hochter University of Michigan 2012
 COMMUTATIVE ALGEBRA II Mel Hochster University of Michigan Winter 2012
 Commutative Rings Thomas Markwig 2011/12
 Commutative Rings Dan Segal University of Oxford Autumn 2013
 A Term of Commutative Algebra By Allen ALTMAN and Steven KLEIMAN MIT Lecture Notes Version of September 3, 2012
 Commutative Rings Pete Clark University of Georgia 2011
 A Primer of Commutative Algebra James S. Milne April 29 2012
 Commutative Algebra II Kiyoshi Igusa Brandieis University Spring 2010
 Commutative Rings Lectures delivered by Jacob Lurie Notes by Akhil Mathew Fall 2010, Harvard Last updated 12/1/2010
 Commutative Algebra Diane Maclagan Simon Thomas Rutgers University
 A Course in Commutative Algebra Robert B. Ash Professor Emeritus Mathematics University of Illinois
 A Term of Commutative Algebra By Allen ALTMAN and Steven KLEIMAN MIT September 3,
2012  ELEMENTARY COMMUTATIVE ALGEBRA LECTURE NOTES H.A. NIELSEN UNIVERSITY OF
AARHUS 2005  COMMUTATIVE RINGS The Stacks Project Columbia University
 Commutative Algebra A.J. de Jong Columbia University lecture notes by Qi You 2008
 Commutative Algebra I John Cremons Notes by Florian Bouyer University of Warwick
 Commutative Algebra II Narco Schlichting Notes by Florian Bouyer University of Warwick Bouyer 2011
 COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY NICK GURSKI University of
Sheffield  Commutative Algebra Notes written by Branden Stone from Craig Huneke's lectures University of Kansas
 The CRing Project A collaborative, open source textbook on commutative algebra. ttp://people.fas.harvard.edu/ ~ amathew/cr.html
 Commutative Algebra and Homological Algebra Amnon Yekutieli Department of Mathematics Ben Gurion University 20122011
 Commutative Algebra Karen Yeats Simon Fraser University Fall 2013
Commutative Algebra II Kiyoshi Igusa Brandies University Spring 2010 Hecke Algebras Daniel Bump Stanford University May 11, 2010