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).
Best Answer
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.