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The ALICE Collaboration has studied the inclusive J/$\psi$ and$\psi(\mathrm{2S})$ production in p-Pb collisions at $\sqrt{s_{NN}}$ = 5.02TeV, at the CERN LHC. The J/$\psi$ measurement is performed in the$\mu^{+}\mu^{-}$ and in the $e^{+}e^{-}$ decay channels, down to zero$p_{\mathrm{T}}$. The results are in fair agreement with theoreticalpredictions. The $\psi(\mathrm{2S})$ measurement has also been performed. Inparticular, a smaller $\psi(\mathrm{2S})$ nuclear modification factor, withrespect to the J$/\psi$ one, has been observed.

J/$\psi$ and $\psi$(2S) production in p-Pb collisions at $\sqrt{s_{NN}}=\mathrm{5.02}$ TeV with ALICE at the LHC