MHB Recommendations for a Massive Algebra Text

  • Thread starter Thread starter Chris11
  • Start date Start date
  • Tags Tags
    Algebra Text
Chris11
Messages
26
Reaction score
0
Hey. I was wondering if anyone woudl have any good recomendations for large algebra textbooks that cover an enormous amount of material. I would use this book to learn new things, and also as a go to book when I need a quick refrence.

So far, I know of only 2:

Hungerford,

Dummit and Foote.
 
Physics news on Phys.org
Chris11 said:
Hey. I was wondering if anyone woudl have any good recomendations for large algebra textbooks that cover an enormous amount of material. I would use this book to learn new things, and also as a go to book when I need a quick refrence.

So far, I know of only 2:

Hungerford,

Dummit and Foote.

Serge Lang's Algebra would be something to add to the collection of massive algebra texts. However, I prefer the two you've already listed.
 
Chris L T521 said:
Serge Lang's Algebra would be something to add to the collection of massive algebra texts. However, I prefer the two you've already listed.

Talking about Serge Lang, have you ever seen this? Ken Ribet is the guy who proved the connection between Fermat's Last Theorem and elliptical curves.

Also, Huppert wrote an influential book called "finite groups", which spawned two further volumes with him and Blackburn. I haven't managed to find the first volume in English though...but if you are looking for massive texts, these three volumes are pretty hefty!
 
Swlabr said:
Talking about Serge Lang, have you ever seen this? Ken Ribet is the guy who proved the connection between Fermat's Last Theorem and elliptical curves.

Also, Huppert wrote an influential book called "finite groups", which spawned two further volumes with him and Blackburn. I haven't managed to find the first volume in English though...but if you are looking for massive texts, these three volumes are pretty hefty!

If you want to here some stories about Serge Lang, e-mail Dr. Foote. He had an office next him when he was a visiting graduate student. Dr. Foote in class will tell stories about Dr. Lang from time and again. Also, if you think it would be strange just to randomly e-mail Dr. Foote, don't fret. He is extremely nice and a great person. He will e-mail and chat with anyone.
 
##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
Back
Top