<p>The present theoretical analysis is carried out in order to study some aspects of the electron transport in a degenerate two-dimensional electron gas (2DEG) at low lattice temperature, taking into account some particular features. These features, in contrast to the usual practice, include the inelasticity of the interaction of the carriers with the intravalley acoustic phonons, the true phonon distribution function setting aside the equipartition approximation for the same, and the transverse component of the three-dimensional phonon wave vector in the light of Ridley’s momentum conservation approximation. The scattering rate and the corresponding zero-field mobility are evaluated for an ensemble of degenerate carriers, confined in a triangular quantum well at the AlGaAs/GaAs interface, over a range of the lattice temperatures and the degeneracy levels. Numerical results demonstrate that the degeneracy parameter, the inelastic electron–phonon interaction, and the transverse component of phonon wave vector contribute significantly to effect the scattering and mobility characteristics compared to traditional theories, particularly in the low-temperature regime. The results which are obtained here seem to be stimulating and thus call forth more studies in the same framework as that of the present analysis.</p>