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In this paper, we study the thermodynamical properties of the(2+1)dimensional black hole with a non-linear electrodynamics and withoutcosmological constant using the Generalized Uncertainty Principle (GUP). Thisapproach shows that there is a maximum temperature for the black hole dependingonly on the electric charge and corresponding to the minimum radius of theevent horizon, of the order of the Planck scale. Finally we show that the heatcapacity for this black hole has the expected behavior.

Thermodynamics of the (2+1)-dimensional Black Hole with non linear  Electrodynamics and without Cosmological Constant from the Generalized  Uncertainly Principle