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I currently have Dummit and Foote, but I was thinking of getting another textbook on abstract algebra to complement it. I've come across a few popular titles, but I'm not sure if they're different enough from D&F. What are your thoughts on the differences and approachability of the major abstract algebra books? Some of the popular titles that I've seen are:

  • Abstract Algebra by Dummit and Foote
  • A First Course in Abstract Algebra by Fraleigh
  • Algebra by Artin
  • Contemporary Abstract Algebra by Gallian
  • and any other book you recommend
KCW
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  • this question has a lot of advice in this vein, and has descriptions of a fair number of algebra books. – Chris Grossack Nov 27 '20 at 00:51
  • See also here – Chris Grossack Nov 27 '20 at 00:53
  • I can at least say that the presentation in Artin's Algebra is quite different from Dummit and Foote. He focuses much more on linear algebra and representation theory early in the book: he doesn't even define rings until chapter 10! I think Dummit and Foote is a really great textbook, though, and could serve you well as a reference for years and years. That's been my experience, at least. Another possibility is Lang, which is even more encyclopedic, but also less reader-friendly. – Viktor Vaughn Nov 27 '20 at 01:28

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