DefinePK

Abstract

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