[seqfan] Re: A100083

[franktaw at netscape.net]

This class can characterized as the direct sum of the p-adic integers 
for all primes p. It is rather interesting; for one thing, it is 
isomorphic to the endomorphisms of the torsion group Q/Z (where this is 
understood as referring to the additive groups of these rings).

Franklin T. Adams-Watters

-----Original Message-----
From: David Wilson <davidwwilson at comcast.net>

To me, it looks as if there is a generalization of the integers to a 
broader
class of numbers (like F) that have p-adic representations for all 
primes p.
This latter class of numbers seems to have some interesting divisibility
properties.

Since I have only a very tenuous grasp of p-adic theory, I have no idea 
how
to develop this idea.