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,
, and the ring of Witt vectors
No.06:
DEFINITION 06.1
We denote by
the quotient field of
.
LEMMA 06.2
Every non zero element
is uniquely expressed as
We have so far constructed a ring
and a field
for each prime
.
With
and/or
, we may do some ``calculus'' such as:
THEOREM 06.4
[1, corollary 1 of theorem 1]
Let
,
.
Assume that there exists a natural number
such that
,
Then there exists
such that
(1) 


(2) 


See [1] for details.
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20080610