Grad textbook on abstract algebra

[ForMyThunder]

What is the absolute best abstract algebra book for graduate students? I was wanting a book that covers algebra in the most comprehensive manner possible, at about the level of Hungerford's Algebra. I was wondering if Carstensen's Abstract Algebra in the Sigma Series in Pure Mathematics is a good text. Any recommendations?

 

[micromass]

Hi ForMyThunder!

Which kind of algebra are you interested in? There are a lot of branches out there!

I've always found "Commutative algebra with a view on algebraic geometry" by Eisenbud wonderful. But that focusses on commutative algebra.

Another great book is the algebra books by Bourbaki, but Bourbaki's style is often criticized...

 

[jbunniii]

I like Rotman, Advanced Modern Algebra (2nd edition), and Isaacs, Algebra: A Graduate Course.

 

[SteveL27]

"Absolute best" is subjective, but if you're looking for a comprehensive book, check out Lang.

https://www.amazon.com/dp/038795385X/?tag=pfamazon01-20

Harder than Hungerford, but definitely a good book to have on your shelf.

 

[mathwonk]

the modern standards are artin, dummit and foote, hungerford, lang. a little older but excellent are: jacobson, van der waerden, and sah.

i have free algebra notes on my web page for math courses 843-4-5, and 8000[6].

see my profile for address. many other people have possibly better and certainly nicer looking ones on their sites. james milne's site is a treasure trove of wonderfully well written and excellent books and notes.

 

[ForMyThunder]

Has anyone read this book? https://www.amazon.com/dp/311025008X/?tag=pfamazon01-20 If so, how was it?