Stronger Than Grease
Ajax, a Greek mythological hero, was a warrior renowned for his strength and one of the most valuable soldiers in the Greek army. After the Trojan War, both Ajax and Odysseus wanted the armor of Achilles and completed many trials to win it. When Odysseus wins the armor, Ajax commits suicide.
It could also be that the cleanser was named after Ajax because he never needed aid in battle. This could be implying that Ajax, the cleanser, doesn't need aid from any other cleanser.