John Chrysostom
God is not the deity of those who do not exist and are entirely destroyed, destined never to rise again; instead, He does not refer to Himself as "I was," but rather as "I am" the God of the living and the existing. Just as Adam was alive on the day he ate from the tree, he became subject to death immediately after God's judgment was declared. Similarly, the patriarchs, although they physically passed away, continued to live in accordance with the promise of resurrection. As it is stated, "to have dominion over both the dead and the living" (Rom. 14:9). This declaration complements the earlier thoughts since it refers to the deceased who will ultimately be revived.
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Nevertheless, it is important to recognize the distinction between the phrase "I am the God of Abraham" and the assertion that He has authority over both the dead and the living. We must understand there exists another form of death, as indicated by the words, "Let the dead bury their own dead" (Luke 9:60).