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After having a solid year long undergraduate course in abstract algebra, I'm interested in learning algebra at a more advanced level, especially in the context of category theory.

I've done some research, and from what I've read, it seems that using Lang as a main text and Hungerford as a supplement would be a good combination. I've skimmed through Lang's book and it actually looks quite readable, but I would need another more detailed book like Hungerford to see some more examples/proofs while I worked through Lang.

Another option I've considered is using Mac Lane/Birkhoff's Algebra. The book seems to start off rather simply, but it eventually covers a good deal of advanced material including category theory.

I welcome all comments/suggestions that any of you may have. Thanks!

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closed as off topic by Andy Putman, Igor Rivin, Qiaochu Yuan, Alain Valette, quid Nov 10 '11 at 21:54

Questions on MathOverflow are expected to relate to research level mathematics within the scope defined by the community. Consider editing the question or leaving comments for improvement if you believe the question can be reworded to fit within the scope. Read more about reopening questions here.If this question can be reworded to fit the rules in the help center, please edit the question.

I think this question (and others at the senior undergraduate/first year graduate level) would get a better reception over at – Andy Putman Nov 10 '11 at 19:29
Agree with Andy – Igor Rivin Nov 10 '11 at 19:34
In some sense these question are essentially isomorphic to one of a teacher asking what book to recommend. In any case I find most textbook recommendations questions for this reason interesting, and one might also for this reason be able to make an argument that they are thus on-topic. – user9072 Nov 10 '11 at 20:31
The questions "Which books are best to teach from?" and "Which books are best for self-study?" are different and will warrant different answers. Also, I think it is in the OP's best interest if he is guided to now -- likely he will have future questions, and I suspect that his future questions will suit better as well (at least until he has progressed more in his studies). – Andy Putman Nov 10 '11 at 21:12
I just realized that there are two sites. I apologize. I'll submit the question on the other site. Thanks. – Keith Nov 10 '11 at 21:44