 About 77,700 results  books.google.com 
 books.google.com FranzViktor Kuhlmann, Salma Kuhlmann, Murray Marshall   Preview Suppose L = K, with K, a classical padic field. Let A C L be a classical locality of
K . We show that A is padically closed and LA is a finite extension. It is clear that
A is nonreal, hence it is p' adically closed with respect to a finite rational prime ... 

 books.google.com Artin and Schreier's introduction in 1926 of the class of real closed fields, which
share all the 'algebraic' properties of R. Independently of AxKochen, also Y.
Ershov (see [7]) introduced the padically closed fields in 1965. A more general ... 

 books.google.com padic. Fields. In order to be able to define K valued functions by means of series
(mainly power series), we have to ... so we shall consider its completion Cp: This
field turns out to be algebraically closed and is a natural domain for the study of ... 

 books.google.com Up to now, we have kept our attention focused on the field Q and its padic
completions. ... Qp in order to obtain a field that is not only complete (so that we
can do analysis) , but also algebraically closed (so that all polynomials have
roots). 

 books.google.com We now want to construct a field that contains all zeros of all polynomials over Qp
. Definition 5.5. Let A' be a ... We are lucky that in the padic case by completing
the algebraic closure we again obtain an algebraically closed field. In principle it
... 

 books.google.com The completion of (Q,  p) is called the field of padic numbers and is denoted by
(Q, , ). ... A padically closed field is a valued field (K, V) such that char(K) = 0, V is
henselian with m(V) = py, k > F, and [F : nP) = n for n = 1,2,3,.... So (Qp, Zp) is a ... 

 books.google.com Leonid A. Bokut', Anatoli_ Ivanovich Mal_t_s_ev, Alekse_ Ivanovich Kostrikin  1992  Preview  More editions Abstract We describe some classes of multiply pseudopadically closed fields,
admitting only a finite number of pvaluations (but with respect to different primes
p) and having finitely generated absolute Galois groups. These classes have ... 

 books.google.com This monograph is a systematic treatise on period domains over finite and over p
adic fields. ... theory quite a bit in some places, especially to accomodate
isocrystals over nonalgebraically closed fields, and also isocrystals withG
structure. 

 books.google.com Show that the class of padically closed fields is model complete and
axiomatizable in the language of valued fields. Hints: Apply Theorems 4.1.3 and
4.3.5, and show that the proof of Theorem 4.6.1 carries over to the case of two p
adically ... 

 