  In this work we construct a noncommutative version of the Friedmann equations
in the framework of effective loop quantum cosmology, extending and applying
the ideas presented in a previous proposal by some of the authors. The model
under consideration is a flat FRW spacetime with a free scalar field. First,
noncommutativity in the momentum sector is introduced. We establish the
noncommutative equations of motion and obtain the corresponding exact
solutions. Such solutions indicate that the bounce is preserved, in particular,
the energy density is the same as in standard LQC. We also construct a
noncommutative version of the modified Friedmann equations and argue that, as a
consequence of noncommutativity, an effective potential arises. This, in turn,
leads us to investigate the possibility of an inflationary era. Finally, we
obtain the Friedmann and the Raychaudhuri equations when implementing
noncommutativity in the configuration sector. In this case, no effective
potential is induced.

General Relativity and Quantum Cosmology;High Energy Physics - Theory