Gaussian Integers and Applications
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Date
2024-06
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Informatics, Departement of Mathematics
Abstract
The goel of this work is to study some properties of the ring of Gaussian Numbers Z[i]: complex numbers whose real and imaginary parts are both integers (in z). These properties are related to the algebraic structure of the ring: construction, Euclidean algorithm, gcd, lem, unique factorization. Finaly, we mention some of their applications in Number Theory, geometry, and Analysis
Description
Keywords
Ideal, the ring of gaussian integers, TECHNOLOGY::Engineering physics::Other engineering physics