Is it dangerous to boil dish soap (natural, ex: walgreens brand "ology") while also cooking other foods in the kitchen (ex.pasta)? 

I was trying to clean some pots and read online that a good way to clean them is to boil dish soap in them. I was also making dinner at the same time and I am worried that I released toxic chemicals into the air and into my food.

How hot does soap need to be heated to cause it to decompose, and what substances will be formed by the decomposition of the soap ?