Home            Contact us            FAQs
    
      Journal Home      |      Aim & Scope     |     Author(s) Information      |      Editorial Board      |      MSP Download Statistics

     Research Journal of Mathematics and Statistics

    Abstract
2014(Vol.6, Issue:4)
Article Information:

On Some Algebraic Properties of the Euclidean Algorithm with Applications to Real Life

E.A. Alhassan, K.N. Simon, J.M. Bunyan and A. Gregory
Corresponding Author:  E.A. Alhassan 
Submitted: May ‎04, ‎2014
Accepted: ‎June ‎08, ‎2014
Published: November 25, 2014
Abstract:
The study analyzed the algebraic properties of the Euclidean algorithm in details. The analysis included a detailed step by step approach in understanding the algorithm, the extended form of the algorithm, computation of the Greatest Common Divisor (GCD) and its algebraic properties and their applications in algebra and cryptography. We also showed how the Euclidean algorithm could be applied to trading for the maximization of returns. In our approach, we assumed that gcd[a(x); b(x)] is the monic polynomial of minimal degree within the set G = {s(x)a(x)+t(x)b(x): s(x), t(x) ∈ F[x]}

Key words:  Algebra, algebraic properties, cryptography, division property, Euclidean algorithm, greatest common divisor, trading
Abstract PDF HTML
Cite this Reference:
E.A. Alhassan, K.N. Simon, J.M. Bunyan and A. Gregory, . On Some Algebraic Properties of the Euclidean Algorithm with Applications to Real Life. Research Journal of Mathematics and Statistics, (4): 46-52.
ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
Submit Manuscript
   Information
   Sales & Services
Home   |  Contact us   |  About us   |  Privacy Policy
Copyright © 2024. MAXWELL Scientific Publication Corp., All rights reserved