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In this paper, we revisit the issue intensively studied in recent years onthe generation of terms by radiative corrections in models with broken Lorentzsymmetry. The algebraic perturbative method of handling the problem ofrenormalization of the theories with Lorentz symmetry breaking, is used. Wehope to make clear the Symanzik's aphorism: "{\it Whether you like it or not,you have to include in the lagrangian all counter terms consistent withlocality and power-counting, unless otherwise constrained by Ward identities.}"

Symanzik-Becchi-Rouet-Stora lessons on renormalizable models with broken symmetry: the case of Lorentz violation