On <italic>H</italic>-supplemented modules over a right perfect ring.

In 1971, Koehler [<xref>11</xref>] proved a structure theorem for quasi-projective modules over right perfect rings by using results of Wu-Jans [<xref>22</xref>]. Later Mohamed-Singh [<xref>17</xref>] studied discrete modules over right perfect rings and gave decomposition theorems for these modules. Moreover, Oshiro [<xref>18</xref>] deeply studied (quasi-)discrete modules over general rings. In this paper, we consider that decomposition theorems for <italic>H</italic>-supplemented modules with the condition (<italic>D</italic>₂) or (<italic>D</italic>₃) over right perfect rings. [ABSTRACT FROM AUTHOR]