a module hikashop in another web ....

The easiest is to create a new hidden menu displaying your products as you want them on your main website.
Then, just add &tmpl=component to the URL of your menu and the template will disappear and you will only see the listing of products.
Then, with that URL you can use a module like this one extensions.joomla.org/extensions/style-a...pups-a-iframes/14710 on your other website in order to display the listing of products on that other website.

Mmm indeed. You will have to add <base target="_top" /> tag to the head of the pages coming from the main website in order to open the links on the full page.
You could try to edit the file listing of the view product via the menu Display->views and add the code below for that:

$doc =& JFactory::getDocument();
$doc->setMetaData('base','<base target="_top" />');