The correct answers to the above solution-question is by else programming basic: 

    if( current_user_can('administrator')) { 
    <!-- only administrator will see this message -->
			}
	else { 
			if( current_user_can('author')) {
    <!-- only author but no administrator will see this message -->
    } else {
	
	?>
    <style type="text/css">#perhapsDIVremovalidentifier{
    display:none;
    </style>
    }
    <?php
    }
    
Brief: The administrator is found, but if we push author the administrator is as well found. So we just let administrator pass through and identify the author only.