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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/11162

Title: Aproximations in Divisible Groups: Part I
Authors: Ezearn, Jeffrey
Obeng-Denteh, William
Keywords: Divisible groups
Cauchy sequences
Group norms
Proximity functions
Issue Date: 2015
Publisher: Physical Science International Journal
Citation: Physical Science International Journal 6(2): 112-118, 2015, Article no.PSIJ.2015.038 ISSN: 2348-0130
Abstract: This is the first in a series of papers on Dirichlet-type approximation in the setting of Cauchy sequences in normed divisible groups. In particular, we demonstrate that the concept of approximation exponents are extendable to elements belonging to the completion of a normed uniquely divisible group and other such groups that enjoy a form of divisibility. To give a measure of how “best” the approximation can be, we introduce group theoretic functions (dubbed proximity functions), which generalise the notion of the order of elements in a group. A proximity function
Description: This is an article published by Physical Science International Journal 6(2): 112-118, 2015, Article no.PSIJ.2015.038 ISSN: 2348-0130; DOI: 10.9734/PSIJ/2015/10666
URI: http://hdl.handle.net/123456789/11162
Appears in Collections:College of Science

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