I figured out how to not display the price of the product by ID.
But there was the following complexity...
The product have characteristics and it appears that each characteristic - a product with a different ID.
Besides, as I understand it, the characteristics do not have bindings to product category?
For now, I made sure that did not display the price of all products that have the characteristics, but this is not a complete solution for me because may be other products with the characteristics, in which will need to display the price
How to remove a price only for those products which do I need? How best to do this?