>>11688320Dummit + Foote has some great things going for it (representation theory and the clear relationships between a PID, UFD, Euclidean and integral domains, very well organized, etc..), but they also tend to skirt over things, and is WAY too easy compared to other intro books like Goodman, Artin, and Hungerford. Like, they don’t even prove why the algorithm for finding the rational form of a matrix exists - they just provide it. Artin isn’t nearly as well organized, but it goes through the canon results and actually gives out hard problems, and Hungerford has incredibly good exercises.
So yes, there is no good algebra book at the undergrad level because they all fuck up in some way - use them all for their strengths.
