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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

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  • $\begingroup$ Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link. $\endgroup$ – John Douma Dec 31 '18 at 9:21
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    $\begingroup$ You can try Aluffi’s “Algebra, Chapter 0”. $\endgroup$ – Aurel Dec 31 '18 at 9:25
  • $\begingroup$ Im starting now the book of Aluffi, it seems better that many other classic texts $\endgroup$ – Masacroso Dec 31 '18 at 9:46
  • $\begingroup$ Jacobson's Basic Algebra $\endgroup$ – YuiTo Cheng Jan 1 at 11:41

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