MAOUCHE, FATIMALADJELAT, LAHCENE: Supervisor.2024-07-032024-07-032024-06https://dspace.univ-msila.dz/handle/123456789/43158The 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 AnalysisenIdealthe ring of gaussian integersTECHNOLOGY::Engineering physics::Other engineering physicsThesis