On the angular component map modulo P

Publisher： Cambridge University Press

E-ISSN： 1943-5886|55|3|1125-1129

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.55, Iss.3, 1990-09, pp. : 1125-1129

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Abstract

In [10] we introduced a new first order language for valued fields. This language has three sorts of variables, namely variables for elements of the valued field, variables for elements of the residue field and variables for elements of the value group. contains symbols for the standard field, residue field, and value group operations and a function symbol for the valuation. Essential in our language is a function symbol for an angular component map modulo P, which is a map from the field to the residue field (see Definition 1.2).

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