We report on resonant tunneling in MBE-grown semimagnetic (Zn, Mn)Se/BeTe double-barrier structures. Manganese has been incorporated in the quantum-well region at a concentration of up to 15%. The structures have been investigated using current-voltage measurements at low temperatures with an applied magnetic field up to 7 T. In an external magnetic field, no indication of a giant Zeeman splitting of the subbands in the semimagnetic quantum well could be detected, which is very surprising. Photoluminescence spectra as a function of applied voltage show a variety of different features, including type II electron-hole recombination from the conduction band of the emitter or the quantum well to the valence band of the BeTe barriers, which is a special feature of the BeTe-ZnSe system used here. (C) 1999 Elsevier Science B.V. All rights reserved.