The name Ajax is a boy's name of Greek origin. Ajax and is often added to lists like Mythological Baby Names for Boys and discussed in our forums with posts like "Picky Parents - Sibsets Version".
From the experts:
Ajax was the strong and courageous Greek hero featured in Homer's "Iliad," known as Ajax the Great. But it's also the name of a foaming cleanser, and if you find that reference too strong, you might try the shortened Jax instead.