Talk:Ring (mathematics)

From Citizendium
Revision as of 14:49, 2 November 2006 by imported>Simen Rustad
Jump to navigation Jump to search

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)