There are options:
$str = '/tcrc/php/tcrc_admin_mem_select.php';
echo basename($str) . "<br />\n";
// - or -
$match = ltrim(strrchr($str, '/'),'/');
echo $match . "<br />\n";
// - or -
preg_match('#[^/]+$#', $str, $match);
echo $match[0];
FYI - I would stop using ereg, and learn preg instead, as POSIX (which regex is a part of) will not be included in the core of PHP 6.. Best to future proof your code now while you can.
EDIT - Damn, Weedpacket beat me to it! 😉