Hi,
Your home menu item is a HikaShop menu item displaying a listing of your categories.
And when you use such menu item and click on a category/product of such listing, you stay on the same menu item for all the pages.
You have two solutions to do what you want:
1. Instead of a HikaShop menu item for your home page, you can create a Joomla article menu item and in that Joomla article, use the loadposition system (
docs.joomla.org/How_do_you_put_a_module_inside_an_article%3F
) of Joomla to insert a HikaShop content module configured to display the same content. In the menu item setting of the module, you can configure the "target" menu item of the links of the module so that the menu item will change when you use them.
2. You can use Advanced Modules Manager in order to restrict your slideshow module based on the current category thanks to its more fine grained resitriction settings over the default Joomla Modules manager.