The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Inactive » math-history-list

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: unique prime factorization
Replies: 8   Last Post: Dec 5, 2010 12:44 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 6
From: paris
Registered: 11/26/05
unique prime factorization
Posted: Sep 4, 2009 7:28 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Dear all,

I would like to ask the following question. Please, correct me if you find errors in formulation, or if it is unclear:

Consider the ring arising from the ring of integers in Q(a, b, c...) by adjunction of square roots. Q(a, b, c....) being the field of the rational functions of the indeterminates a, b, c ...

Does this ring lack unique prime factorization? and why?

Despite of its purely mathematical character, this problem has an historical interest, since it allows to clarify descartes' theory of equations, and in particular, his technique of reducibility.

Thank you everyone,


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.