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The Alpha Magnetic Spectrometer (AMS) is a high-energy particle physics experiment operating on-board of the International Space Station (ISS) since May 2011. Thanks to the large detection area, the long exposure time (>7 years), the excellent identification power, and the preferential location onboard of the ISS, AMS measures all the components of the charged cosmic rays (CRs), i.e. the energetic charged particles and completely ionised nuclei coming from the outer space. AMS separates precisely the CR matter (electrons, protons and nuclei), whose study revealed new details about the physics of CRs production and propagation in the Galaxy, from the rare component of anti-matter (positrons, anti-protons and anti-nuclei), which represents an unique opportunity for looking to the problem of matter/anti-matter asymmetry in the universe, and the indirect search of dark matter products. In this seminar, the principal AMS results will be reviewed and the current status of the experiment discussed.