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I am reading Abstract Algebra from Dummit Foote.

I need to cover the following topics for my upcoming exam:

Abstract Algebra:

Groups:

Groups, homomorphisms, normal subgroups and quotients, isomorphism theorems, finite groups, symmetric and alternating groups, direct product, structure of fi nite abelian groups, Sylow theorems.

Rings:

Rings and ideals, quotients, homomorphism and isomorphism theorems, maximal ideals, prime ideals, integral domains, eld of fractions, Euclidean rings, principal ideal domains, unique factorization domains, polynomial rings.

Fields:

Fields, characteristic of a fi eld, algebraic extensions, roots of polynomials, separable and normal extensions, fi nite fields.

Elementary number theory and combinatorics:

Divisibility, congruences, standard arithmetic functions, permutations and combinations.

However I find that an enormous amount of material has been given in this book and the book also has a great volume.I don't know when will I finish this book.

Is it necessary to cover all the topics related to above from the book?

Are there any alternatives to Dummit Foote as a standard text which also has good problems and exercises and would serve me well on these topics for my upcoming exam allowing me to finish the topics in a reasonable time??

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This semester I took a course of "Rings and Modules" (and studied a bit of groups too). I didn't know deeply sereval books of abstract algebra, but between those I've found, I recommended Contemporary Abstract Algebra, of Joseph A. Gallian (I read the ninth edition). I appreciated it for the clarity of proves, the coverage, the exemples, the partial solution manual at the end (it contais answers or hint for old-numbered exercises). Besides, I found all answers for the even-numbered exercices that I needed here, in math.stackexchange.com! These qualities make it a book for self-study, in my opinion. Talking about your wishes, I believe it do suit. I hope you listen students more versed than me and do the best choice!

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I have heard of "Fundamentals of Abstract Algebra" by D. S. Malik which has worked solutions of exercises (something quite rare in algebra books).

You may want to try it.

I also recommend Hungerford, however that has the problem of being just as lengthy as Dummit & Foote.

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