Browsing by Author "MAOUCHE, FATIMA"

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    Gaussian Integers and Applications
    (Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Informatics, Departement of Mathematics, 2024-06) MAOUCHE, FATIMA; LADJELAT, LAHCENE: Supervisor.
    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