Talk:Abstract Algebra

Style update
I see the manual of style page for contributors and if I'm being honest, I don't like it very much and I don't think it's very reader friendly. I think a much better style can be found in the Linear Algebra textbook (see this section for example). In particular having text boxes for the Theorems/Lemmas/Definitions/etc. makes them easier to spot and also break things up so you're not just facing a wall of text.

I would love to hear other people's thoughts on the matter, although it seems like there is not a lot of work happening here at the moment so if there is no response over the next few days, I might make the changes anyway.

Tripler06 (discuss • contribs) 02:47, 15 May 2023 (UTC)

Any One Here?
Ary: Hello~ ~ ~ ~
 * Echo: Hello~ ~ ~ ~

I am working on the group section now.

Arydye001 (talk) 19:36, 23 July 2010 (UTC)


 * Not many people at the moment, but keep up the good work. It is noticed.  I wrote some material about groups here probably too basic for this book, but if it helps use it.  Thenub314  ( talk ) 21:23, 23 July 2010 (UTC)


 * I see... may be others working on this book may come by soon.

Moving This Page
I don't believe that it is a good idea to move this page. For newcomers it is helpful to have an absolute starting point for mathematical study. I don't think people would look for this in algebra.


 * I am looking for "Where to start: with nothing" which I had just found and liked immensly. Where is it now? I cannot find it easily in Algebra. Would anyone help? Thank you

Numbering convention
What kind of numbering convention should we use? I see two possible candidates, each with advantages and drawbacks.


 * Using the same counter for all entries, that is, Definition 1, Theorem 2, Defintion 3, Example 4, Remark 5, etc...


 * Advantage: Easier navigation in the text.


 * Disadvantage: Editing is cumbersome.


 * Seprarate counters for each type of entry, that is, Definition 1, Theorem 1, Definition 2, Example 1, Remark (unnumbered), etc...


 * Advantage: Easier to edit.


 * Disadvantage: Navigating the text becomes more cumbersome, but this can be overcome using a search function.

Does anyone have opinions regarding this? Espen180 (discuss • contribs) 21:26, 13 April 2012 (UTC)


 * I prefer the first, and the anchor template is a nice way to refer back to things. For example, if I want to refer to the definition of a zero vector I can simply create a direct link to it..  But to be honest, it will probably be a case of what ever makes you happiest. Thenub314 (talk) 23:05, 13 April 2012 (UTC)

Nice e-book
Hello, I am a student and really enjoy reading this excellent e-book on abstract algebra. Thanks to the creators of this :-) --Mathmensch (discuss • contribs) 21:28, 5 November 2013 (UTC)

Exercises to be included

 * Let $$p \le R$$ be prime. Then $$p R[x]$$ is prime in $$R[x]$$.

To do

 * field theory
 * include correspondence theorems, link to the ring one in the commutative algebra book chapter 12. Mathmensch (discuss • contribs) 14:37, 21 June 2016 (UTC)

Two lists of contents
There are two different lists of contents. Can one be deleted, or renamed, if it's still needed for reference? I started reading the first page of the second list, and every section of it is incomplete. Is the second list an old draft? ThornyHemlock (discuss • contribs) 12:53, 15 February 2022 (UTC)