I wanted to learn abstract algebra this summer so I bought Pinter's A book of Abstract Algebra.

I was planning on reading it over the course of the summer, but just finished the last problem of its final chapter! I found the subject absolutely enthralling and now want to learn more, as such my question is:

What algebra textbooks/topics would provide a good follow up to Pinter's text?

Edit: Please note that my prerequsites are somewhat limited. As far as serious math classes, I've only taken ODEs, probability, and Analysis 1 (Rudin Ch 1-6).

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    $\begingroup$ Herstein, Topics in Algebra is a classic, but may be quite advanced. Also, check out book by Gallian $\endgroup$ – Geoff Robinson Jun 13 '14 at 10:07

Try these classics:

  • Algebra by Mac Lane and Birkoff.
    This will introduce you to categorical ideas in a painless way by the masters.

  • Basic Algebra I and II by Jacobson, now available in a Dover edition.
    I like the prose in these books, written by a master expositor. Volume II is hard.

  • $\begingroup$ What is the difference between Algebra by Mac Lane and Birkoff and A Survey of Modern Algebra by the same authors? Which one is more advanced? $\endgroup$ – Graduate Aug 24 '14 at 3:36
  • $\begingroup$ @Graduate, Algebra is more advanced. $\endgroup$ – lhf Aug 24 '14 at 11:46

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