Growth technologies of oxide crystals in W/Mo crucibles have been developed as a low-cost alternative to conventional processes involving Ir crucibles. Carbon-containing atmosphere needed to protect crucibles from oxidation leads to introduction of carbon into the crystal lattice, creation of carbon-related defects, which affect scintillation performance. Meanwhile, a search for fast scintillators for new generation of positron-emission tomographs and high energy physics experiments at colliders is under way. Codoping with divalent cations has become an efficient way to suppress long components of scintillation decay in Cedoped scintillators. This work addresses Y3Al5O12 (YAG) crystals codoped with carbon, cerium activator and divalent cations. Optical and scintillation properties of YAG:Ce,C,A 2+ crystals (A=Ca 2+ , Mg 2+ , Ba 2+ , Sr 2+ ) are systematically studied. Among all the studied garnet compounds, YAG:Ce,C,Ca 2+ crystals demonstrated the fastest scintillation decay times, which are promising for the mentioned applications. Mechanisms of scintillation process in the studied materials are discussed. The Ce 3+ /Ca 2+ ratio in YAG:Ce,C,Ca 2+ was optimized to minimize slow components in scintillation decay.