The radiative decay of sterile neutrinos with typical masses of 10 keV 

is investigated in the presence of a strong magnetic field and degenerate

electron plasma. The modification of the photon dispersion relation by 

the active external medium is taken into account. The limiting cases 

of relativistic and non-relativistic plasma are analyzed. The decay rate 

in a strongly magnetized plasma as a function of the plasma electron number 

density is compared with the unmagnetized case. It Was found that the strong 

magnetic field suppresses the catalyzing influence of the electron plasma 

on the decay rate.