I've already tried all of the existing posts related to this, but they doesn't work as I want it...

The HTML:

<ol class="sortable">
<li>
    <div>
        <a href="#">Start Page</a>
        <div class="li_options">
            <a href="#"><img src="img/icons/small_add.png" /></a>
            <a href="#" onClick="[..]"><img src="img/icons/small_remove.png" /></a>
        </div>
        <div class="clear"></div>
    </div>
    <ol>
        <li>
            <div>
                <a href="#">Sub Seite</a>
                <div class="li_options">
                    <a href="#"><img src="img/icons/small_add.png" /></a>
                    <a href="#" onClick="[..]"><img src="img/icons/small_remove.png" /></a>
                </div>
                <div class="clear"></div>
            </div>
            <ol>
                <li>
                    <div>
                        <a href="#">Sub Sub Seite</a>
                        <div class="li_options">
                            <a href="#"><img src="img/icons/small_add.png" /></a>
                            <a href="#" onClick="[..]"><img src="img/icons/small_remove.png" /></a>
                        </div>
                        <div class="clear"></div>
                    </div>
                </li>
            </ol>
        </li>
    </ol>
</li>
<div class="clear"></div>

This should look like this:

• Start Page
  • Sub Page
    • Sub Page

I want the div.li_options which is set for every li element to be shown only on hovering element. I know, that the parent's li is also being "hovered" on hovering child elements, but I don't those "li_options" to be displayed.

The best solution so far:

$(document).ready(function() {      
    $('.sortable li').mouseover(function() {
        $(this).children().children('.li_options').show();
    }).mouseout(function() {
        $(this).children().children('.li_options').hide();
    });
});

But with this, parents aren't being excluded... I don't know how to point on them, because there can be endless levels. Do you know how to get this working?