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Grad textbook on abstract algebra 
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#1
May2711, 02:16 AM

P: 152

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?



#2
May2711, 05:28 PM

Mentor
P: 18,036

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... 


#3
May2711, 09:38 PM

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



#4
Jun211, 08:09 PM

P: 800

Grad textbook on abstract algebra
"Absolute best" is subjective, but if you're looking for a comprehensive book, check out Lang.
http://www.amazon.com/AlgebraSergeLang/dp/038795385X Harder than Hungerford, but definitely a good book to have on your shelf. 


#5
Jun411, 07:20 PM

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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 84345, 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. 


#6
Jun1511, 09:55 PM

P: 152

Has anyone read this book? http://www.amazon.com/AbstractAlgeb...8192770&sr=81 If so, how was it?



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