Algebraic properties of integral functions

Abstract

For K a valued subfield of Cp with respect to the restriction
of the p-adic absolute value | | of Cp we consider the K-algebra IK[[X]] of
integral (entire) functions with coefficients in K. If K is a closed subfield
of Cp we extend some results which are known for subfields of C (see [3]
and [4]). We prove that IK[[X]] is a B´ezout domain and we describe some
properties of maximal ideals of IK[[X]].