In the framework of the generalized mean field theory, conditions for arising the ferromagnetic state in a two-dimensional diluted magnetic semiconductor and the features of that state are defined. RKKY-interaction of magnetic impurities is supposed. The spatial disorder of their arrangement and temperature alteration of the carrier degeneracy are taken into account.Diluted magnetic semiconductors, such as Ga 1−x Mn x As [1], are broadly investigated in connection with their potential for new electronics developments and, especially, spintronics. For explanation of the ferromagnetism in those compounds the known RKKY-mechanism of the indirect exchange interaction is recruited [1, 2] which leads to the correct estimating the Curie temperature in the framework of the traditional mean field theory. Mn-atoms (with concentration N µ ) substituting for Ga-atoms introduce in the system the own magnetic moments and, in addition, as acceptors deliver free holes (with concentration n). It is precisely those holes become to be carriers responsible for the interaction. However, the equality of the concentrations n = N µ keeps only at low Mn-concentrations (x 0.05) [1,2], so that the carrier concentration is usually less than the concentration of magnetic impurities: n = γN µ where the coefficient of the impurity efficiency γ < 1 and falls 1 with increasing N µ . Nevertheless, the concentration of magnetic impurities, delivering carriers, in actual systems is usually so high that the impurity band is formed which at x 0.01 merges into the valence band [5]. Even though, the carrier concentration occurs to be not so high that one could consider them as highly degenerated ones within the whole (being of interest) range of relatively high temperatures. Furthermore, it is important that in that range the carrier concentration is almost independent of the temperature: n = γN µ ≈ Const.Although two-dimensional structures represent the most natural systems for the embedding in the traditional semiconductor technology, almost all theoretical works are dealt with the three-dimensional systems of degenerate carriers. Similarly, most of experimentally studied systems are three-dimensional ones.The objective of the present paper is considering magnetic features of two-dimensional semiconductor systems with magnetic impurities interacting by RKKY-mechanism via carriers of arbitrary degeneracy. That problem has been recently considered in the paper [6] where it has been shown that reducing the system dimension (from 3D to 2D) results in the significant lowering of the Curie temperature (under equivalent parameters). We think though that there are some inexactitudes in the paper. Firstly, authors [6] has neglected of the temperature dependence ε F (T ) of the carrier Fermi energy that is inadmissible under the intermediate degeneracy when ε F /k B T ∼ 1 (and, all the more, at ε F < 0). In addition, the disorder in the arrangement of magnetic impurities has been considered in the framework of the mean 1 One could control the relative hole co...