By the Lord's keeping up this character respecting Abraham, is meant that he is God in a covenant way. See Exodus 3:15.Genesis 17:7-8. Pause again here and contemplate the tender mercies of the Lord. Abraham and Isaac and the Patriarchs were all dead, yet God was, and is, and ever will be their God. God in all his engagements and promises. Oh! precious, precious truth, for the encouragement of our faith and hope. See the Lord Jesus' account of this. Luke 20:37. And see what the Holy Ghost hath caused to be recorded concerning it also. Hebrews 11:16.
Related Commentaries of Exodus 3:6
Exodus 3:6
6 Moreover he said, I am the God of thy father, the God of Abraham, the God of Isaac, and the God of Jacob. And Moses hid his face; for he was afraid to look upon God.