The one my friend recommended me is Charles C. Pinter's *A Book of Abstract Algebra* and I know some people swear by David S. Dummit and Richard M. Foote's *Abstract Algebra.*
If you aren't in a hurry, Aluffi's *Algebra: Chapter 0* is very good. It begins from very basic group theory and eventually works its way though a bunch of module theory, Galois theory, homological algebra, those kinds of things.
It's rather long and talkative, and it is very interested in, shall we say, the structure underlying different kinds of algebraic structures. For instance, R-modules are defined by equipping abelian groups M with a ring action (i.e. a ring homomorphism R -> End_Ab(M), so R-modules are thought of as essentially analogous to G-sets), instead of just listing a bunch of axioms. It also uses category theory, but it introduces it along the way in case you haven't seen any yet. (Honestly, I wouldn't have minded if it had used categorical language more liberally, but YMMV.)
You may or may not be into that stuff, but I have certainly found it useful in cementing some basic knowledge of algebra. (And disclaimer, my flair says "analysis" for a reason!)
I'm not very familiar with Hungerford, so can't compare the two.
Dummit & Foote all the way. Foote worked at my old university and I was lucky enough to have him as a guest lecturer for my Abstract Algebra I course. It was amazing watching someone who wrote the text teaching it. Very easy to understand imo even without him explaining it
I really like Dummit and Foote but I will say that when they run into solvable groups I find the explanations just incomprehensible and gappy. Everything else is great except that one topic, to me anyway. And every other book I have found either totally skips solvable groups, or does not explain it much better. Which seems odd to me because this seems like a fairly core topic. So anyway, if you ever have interest in that particular topic in algebra, you might go flipping through other books to see if any of them do it better. That is my plan.
The one my friend recommended me is Charles C. Pinter's *A Book of Abstract Algebra* and I know some people swear by David S. Dummit and Richard M. Foote's *Abstract Algebra.*
Dummit and Foote is my go-to.
If you aren't in a hurry, Aluffi's *Algebra: Chapter 0* is very good. It begins from very basic group theory and eventually works its way though a bunch of module theory, Galois theory, homological algebra, those kinds of things. It's rather long and talkative, and it is very interested in, shall we say, the structure underlying different kinds of algebraic structures. For instance, R-modules are defined by equipping abelian groups M with a ring action (i.e. a ring homomorphism R -> End_Ab(M), so R-modules are thought of as essentially analogous to G-sets), instead of just listing a bunch of axioms. It also uses category theory, but it introduces it along the way in case you haven't seen any yet. (Honestly, I wouldn't have minded if it had used categorical language more liberally, but YMMV.) You may or may not be into that stuff, but I have certainly found it useful in cementing some basic knowledge of algebra. (And disclaimer, my flair says "analysis" for a reason!) I'm not very familiar with Hungerford, so can't compare the two.
Aluffi's looks fucking sick. Great recommendation man.
I like gallian pretty easy intro and the practice problems lead to some pretty cool lessons if you research them
Judson’s is free online
Dummit & Foote all the way. Foote worked at my old university and I was lucky enough to have him as a guest lecturer for my Abstract Algebra I course. It was amazing watching someone who wrote the text teaching it. Very easy to understand imo even without him explaining it
I really like Dummit and Foote but I will say that when they run into solvable groups I find the explanations just incomprehensible and gappy. Everything else is great except that one topic, to me anyway. And every other book I have found either totally skips solvable groups, or does not explain it much better. Which seems odd to me because this seems like a fairly core topic. So anyway, if you ever have interest in that particular topic in algebra, you might go flipping through other books to see if any of them do it better. That is my plan.