Generalized commutation relations and nonlinear momenta theories: A close relationship

A revision of generalized commutation relations is performed, besides a description of nonlinear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo - Smolin momenta and Kempf et al. and Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.