Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
Some Studies in Ultrametric Analysis
By : P N Natarajan , Edward Beckenstein
Page No: 27-36
Abstract
In this paper, K denotes a non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences and infinite series are in K. In the first section, we introduce the preliminaries that are required in the sequel. In the second section, we prove some results which are special in ultrametric analysis. In section 3, we prove some interesting results about Cauchy sequences in K. In the final section, we give some examples of ultrametrics and ultrametric spaces.
Authors :
P N Natarajan : Retired Professor, Chennai, India
Edward Beckenstein : Professor Emeritus, St. John’s University, N.Y. USA
DOI: https://doi.org/10.32381/JCISS.2022.47.1-4.3