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May 2006 Integer Solutions of Linear Diophantine Equations Form a Group
Ajai Choudhry
Missouri J. Math. Sci. 18(2): 135-141 (May 2006). DOI: 10.35834/2006/1802135

Abstract

It is shown that the set of integer solutions of a single Diophantine equation, or of several simultaneous linear Diophantine equations, in an arbitrary number of variables, say $n$, is a group with respect to a suitably defined binary operation. Further, the aforesaid group is the direct sum of $n$ cyclic groups.

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Ajai Choudhry. "Integer Solutions of Linear Diophantine Equations Form a Group." Missouri J. Math. Sci. 18 (2) 135 - 141, May 2006. https://doi.org/10.35834/2006/1802135

Information

Published: May 2006
First available in Project Euclid: 3 August 2019

zbMATH: 1148.11014
Digital Object Identifier: 10.35834/2006/1802135

Subjects:
Primary: 11D04

Rights: Copyright © 2006 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.18 • No. 2 • May 2006
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