I use this
var e = document.getElementById('ticket_category_clone').value;
Notice that you don't need the '#' character in javascript.
function check () {
var str = document.getElementById('ticket_category_clone').value;
if (str==="Hardware")
{
SPICEWORKS.utils.addStyle('#ticket_c_hardware_clone{display: none !important;}');
}
}
SPICEWORKS.app.helpdesk.ready(check);?