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Re: #548 challenge to Mr. Bill Dubuque ; new textbook: Mathematical Physics (AP-adic Primer)

by Bill Dubuque <wgd@[EMAIL PROTECTED] > Jul 12, 2008 at 09:36 PM

plutonium.archimedes@[EMAIL PROTECTED]
 writes:
> 
> Where Natural Numbers = AP-adics ..

Archie, before I can comment you need to answer the following
questions about your ring of AP-adics, henceforth called AP.

1)  Is the hypothesized ring  AP  a (totally) ordered ring, i.e.
    does AP have a subset P of "positives", closed under + and *, 
    with every elt either positive (in P), negative (in -P) or 0 ?

2)  Are the positive elements P well-ordered, i.e. does every 
    nonempty subset of P have a least element?

Lurkers please refrain from commenting until AP responds.

--Bill Dubuque
 




 2 Posts in Topic:
#548 challenge to Mr. Bill Dubuque ; new textbook: Mathematical
plutonium.archimedes@[EMA  2008-07-04 01:52:10 
Re: #548 challenge to Mr. Bill Dubuque ; new textbook: Mathemati
Bill Dubuque <wgd@[EMA  2008-07-12 21:36:49 

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