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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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I think this question (and others at the senior undergraduate/first year graduate level) would get a better reception over at math.stackexchange.com. –  Andy Putman Nov 10 '11 at 19:29
    
Agree with Andy –  Igor Rivin Nov 10 '11 at 19:34
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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. –  quid Nov 10 '11 at 20:31
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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 math.stackexchange.com now -- likely he will have future questions, and I suspect that his future questions will suit math.stackexchange.com better as well (at least until he has progressed more in his studies). –  Andy Putman Nov 10 '11 at 21:12
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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
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closed as off topic by Andy Putman, Igor Rivin, Qiaochu Yuan, Alain Valette, quid Nov 10 '11 at 21:54

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