Abstract Algebra Book Recommendation – Good Problem Book on Abstract Algebra

abstract-algebrabook-recommendationreference-request

I am currently self-studying abstract algebra from Artin. In that background, I am looking for a problem book in a spirit somewhat similar to Problems in Mathematical Analysis by AMS so that I have a lot of problems to solve.

Best Answer

I don't know if I would call it a "problem book" but Herstein's fantastic "Topics in Algebra" has some amazing basic problems in abstract algebra. If you want more commutative algebra, Atiyah-Madonald have a lot too, but you should probably wait with that one.

For a problem book, I would recommend: Exercises in Algebra: A Collection of Exercises, in Algebra, Linear Algebra and Geometry (Algebra, Logic and Applications , Vol 6) .

Look for old quals in Algebra too and old exams. I can not, if you're learning abstract algebra, recommend Aluffi's book "Algebra: Chapter 0" enough. I used it as a first introduction and I fell in love with the subject. Good luck!