Because thou wilt not leave my soul in hell, neither wilt thou suffer thine Holy One to see corruption. Thou wilt not leave my soul in hell - Εις Ἁιδου, in hades, that is, the state of separate spirits, or the state of the dead. Hades was a general term among the Greek writers, by which they expressed this state; and this Hades was Tartarus to the wicked, and Elysium to the good. See the explanation of the word in the note on Matthew 11:23 (note).
To see corruption - Dust thou art, and unto dust thou shalt return, was a sentence pronounced on man after the fall: therefore this sentence could be executed on none but those who were fallen; but Jesus, being conceived without sin, neither partook of human corruption, nor was involved in the condemnation of fallen human nature; consequently, it was impossible for his body to see corruption; and it could not have undergone the temporary death, to which it was not naturally liable, had it not been for the purpose of making an atonement. It was therefore impossible that the human nature of our Lord could be subject to corruption: for though it was possible that the soul and it might be separated for a time, yet, as it had not sinned, it was not liable to dissolution; and its immortality was the necessary consequence of its being pure from transgression.