On H-supplemented modules over a right perfect ring

ABSTRACTIn 1971, Koehler [11] proved a structure theorem for quasi-projective modules over right perfect rings by using results of Wu–Jans [22]. Later Mohamed–Singh [17] studied discrete modules over right perfect rings and gave decomposition theorems for these modules. Moreover, Oshiro [18] deeply studied (quasi-)discrete modules over general rings. In this paper, we consider that decomposition theorems for H-supplemented modules with the condition (D2) or (D3) over right perfect rings.