The spectra of exciton emission in a series of periodic structures with ultrathin Cd_0.9Mn_0.1Te inclusions in the Cd_0.7Mg_0.3Te matrix have been studied. The complex structure of the luminescence spectra and their relation to the luminescence excitation spectra indicate large-scale fluctuations in thickness of nar-row-band-gap layers. Two types of temperature dependences of the luminescence intensity of localized excitons are found: (1) the complete suppression of emission above 80 K and (2) the relative enhancement of temperature-insensitive low-energy band that corresponds to local bulges in planar Cd_0.9Mn_0.1Te layers.