Which Ajax?

as to Ajax -- no professor
here my knowledge's somewhat thinner
one is greater, one is lesser
neither one a household cleaner
second fiddle to Achilles
Telamonian was great
and the lesser's chief appeal is
in his name, at any rate

future plotters: when name matters
do attempt to randomize
I'll let Tolkien do the talkin'
Sauron, Saruman's demise