Algebraic properties of integral functions. | [Journal of Prime Research in Mathematics • 2007]

Author(s):

1. S. M. Ali Khan: School of Mathematical Science, Government College University, Lahore, Pakistan

Abstract:

For K a valued subfield of Cp with respect to the restriction of the p-adic absolute value êê 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 Bezout domain and we describe some properties of maximal ideals of IK[[X]].

Page(s): 162-168

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 3, Issue: 0, Year: 2007

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