Talk:Ring (mathematics): Difference between revisions

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==Notes==
==Notes==
Started editing the first two sections of the article. I'm afraid it doesn't easily lead itself to being turned into prose.  
Started editing the article. I'm afraid it doesn't easily lead itself to being turned into prose.  


Some points:
Some points:
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*I cut down on the number of examples, rather focusing on the basic examples. If you are looking for examples of rings, I guess knowing that the set polynomials are rings is good enough, and knowing that the set of polynomials with coefficients in a ring i a ring only creates confusion. Same fact with matrices and functions.
*I cut down on the number of examples, rather focusing on the basic examples. If you are looking for examples of rings, I guess knowing that the set polynomials are rings is good enough, and knowing that the set of polynomials with coefficients in a ring i a ring only creates confusion. Same fact with matrices and functions.


*Some reference should be made to ideals, with a link to [[ideal (ring theory)]]
*Should we say more about ideals?


*In my opinion, the "Basic theorems" should go; at least in the current form
*Removed "Basic theorems"


*"Constructing new Rings..." needs cleanup.
*Cut down on "Construction of new rings"


*History of the subject should be included.
*History of the subject should be included. (Problem with regards to ring theory page)
[[User:Simen Rustad|Simen Rustad]] 02:09, 2 November 2006 (CST)
 
Apart from that, I don't know what else should be here, except possibly some things from ring theory, if that is merged in. Maintaining a separate page on ideals could also be discussed.
[[User:Simen Rustad|Simen Rustad]] 13:49, 2 November 2006 (CST)

Revision as of 13:49, 2 November 2006

Notes

Started editing the article. I'm afraid it doesn't easily lead itself to being turned into prose.

Some points:

  • I removed the existence of an identity element from the axioms.
  • I cut down on the number of examples, rather focusing on the basic examples. If you are looking for examples of rings, I guess knowing that the set polynomials are rings is good enough, and knowing that the set of polynomials with coefficients in a ring i a ring only creates confusion. Same fact with matrices and functions.
  • Should we say more about ideals?
  • Removed "Basic theorems"
  • Cut down on "Construction of new rings"
  • History of the subject should be included. (Problem with regards to ring theory page)

Apart from that, I don't know what else should be here, except possibly some things from ring theory, if that is merged in. Maintaining a separate page on ideals could also be discussed. Simen Rustad 13:49, 2 November 2006 (CST)