How does annihilationism posit a self?

> According to the Brahmajala Sutta, Ajita propounded Ucchedavada (the > Doctrine of Annihilation after death) and Tam-Jivam-tam-sariram-vada > (the doctrine of identity of the soul and body), which denied the > separate existence of an eternal soul. Annihilationism is usually thought of as one extreme, which assumes an atman. But if atman is permanent, I don't easily see the error here. 1. Why is it a self view? 2. Can you support Ucchedavada as well as anatman? 3. If not why not? if it's because Ucchedavada explicitly posits a self, what happens when you remove that from the teaching, and is it still Ucchedavada?