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Re:Abstract Algebra: Theory and Applications (A Free Textbook) by SlyShy on Sunday February 27, 2011 @05:36PM (#2269210)
I also recommend Algebra by Michael Artin--but it isn't free, unfortunately.
Re:Abstract Algebra: Theory and Applications (A Free Textbook) by JoeCamel on Tuesday March 01, 2011 @06:11AM (#2274960)
It's used in the course "Abstract Algebra" (Harvard). Lecture videos are available: http://www.extension.harvard.edu/openlearning/math222/ Benedict Gross is a great lecturer and I recommend watching them.