This is in reference to this:Good abstract algebra books for self study.
I am an undergraduate student in Mathematics.I have studied Introductory courses in Ring Theory and Group Theory.
I would like to study the following courses:
- Group Action,Stabilisers,Cayleys Theorem,Class Equation,Automorphisms,Direct Products,Solvable Groups,Simple Groups in particular $A_n$.
- Field Theory: Algebraic Extension,Algebraic Closure,Finite Fields.
- Galois Extension,Cyclotomic Extensions ,Solvability of radicals.
- Ring Theory:Euclidean Domain,Principal Ideal Domain,UFD.
I want a book which can be used as a textbook
I checked out the above references which mainly asked to study Dummit Foote.
But I found Dummit & Foote too broad.Its fine as reference though.Lang is quite tough.Artin does not cover all the topics and is more intended towards Geometry.Gallian is nice but cant be used as a textbook.
I want a book like "Bartle and Sherbert of Real Anlaysis" which can be used as a textbook and
What are some