Hi,
What is the type of you "home" menu, an HikaShop category or product listing ?
If it is, so when reaching a product page from that menu, the product page displayed is still using that same menu id, so the same modules are displayed on the product page too.
Else if you come to this product page from a module, be sure that the "menu" option in the module settings is not pointing to this "home" menu. If it is, it will cause the same issue than the previous case.
A solution to have a module only on a product listing and not on a product page is to use the "Advanced module manager" component.