A'jax, the name of two Grecian chiefs who were prominent in the war against Troy known respectively as the Greater and the Less. Ajax the Greater was from Salamis, commanded twelve ships in the struggle against Troy and is represented by Homer as the boldest of the Greeks after Achilles. Ajax claimed the arms of Achilles after the latter's death, but they were awarded to Ulysses. Ajax became insane and after killing all the sheep of the Greeks, which in his delusion he imagined were the followers of his rival, he slew himself. Ajax the Less is remembered chiefly for his brutal treatment of Cassandra after the fall of Troy.