Algebraic properties of special rings of formal series. | [Journal of Prime Research in Mathematics • 2007]

Author(s):

1. Azeem Haider: School of Mathematical Sciences, Government College Uiversity, 68-B, New Muslim Town Lahore, Pakistan

Abstract:

The K-algebra Ks[[X]] of Newton interpolating series is constructed by means of Newton interpolating polynomials with coefficients in an arbitrary field K (see Section 1) and a sequence S of elements K. In this paper we prove that this algebra is an integral domain if and only if S is a constant sequence. If K is non-archimedean valued field we obtain that a K-subalgebra of convergent series of Ks[[X]] is isomorphic to Tate algebra (see Theorem 3) in one variable and by using this representation we obtain a general proof of a theorem of Strassman (see Corollary 1). In the case of many variables other results can be found in [2].

Page(s): 178-185

DOI: DOI not available

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

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