Not sure how your Previous and Next arrows are setup and/or being pulled in, but at a basic level you can add in the product_cat
to the previous_post_link() and next_post_link() calls:
https://codex.wordpress.org/Function_Reference/previous_post_link
<?php
previous_post_link( 'Previous: %link', '%title', true, '', 'product_cat' );
?>