I'm teaching myself following Algebra: Chapter 0 and up until now (I'm at chapter 3) I'm enjoying myself. In spite of that I have some doubts.
It's not a standard text. All of the category theory, although I really like it, makes me feel like I'm not learning the "serious" algebra the way it supposed to be learned.
So far the exercises are not particularly challenging. This worries me because I'm not a student at any university and I have no mathematician friends to talk to and so the only way for me to check my level of understanding is doing the exercises.
From what I looked most of the courses on algebra contain materials such as Galois theory and representation theory which to my understanding are not present in this book.
I have a copy of Artin's Algebra as well but I didn’t like it as much, although I understand it's very popular. Should I switch to that book? Ir maybe to a another book entirely?