I think I am going on 17 years of not wearing antiperspirant or commerial deodorant. It was that long ago when I first heard that it was not healthy to have your body absorb aluminum chlorohydrate which most antiperspirants contain. Go check out the label on what you rub under your arms everyday.
Instead I switched to using a salt crystal. The ingredient label on my salt crystal simply reads: Natural Mineral Salts, Ammonium Alum.
Here is how I understand it. It is bacteria that causes the odors we do not want. Salt kills the bacteria. Sweating itself is not the culprit. Sweating is our body's natural cooling system. Give salt a try. To use, simply wet the salt rock and apply lavishly.