The purpose of this note is to introduce interesting and useful properties differential-basis and p-basis in theorem 3.3. The result gives a existence differential basis of $S^P$ [$[{\Lambda}_1]$](S) which has a p-basis over $S^p$ ($S^p[{\Lambda}_1]$).
The purpose of this note is to introduce interesting and useful properties differential-basis and p-basis in theorem 3.3. The result gives a existence differential basis of $S^P$ [$[{\Lambda}_1]$](S) which has a p-basis over $S^p$ ($S^p[{\Lambda}_1]$).