$myArray = Array (
  [0] => Array (
    [id] => 1603201,
    [name] => Масла, смазки и технические жидкости,
    [alias] => masla-smazki-i-tehnicheskie-jidkosti/,
  ),
  [1] => Array (
    [id] => 24,
    [name] => Моторное масло,
    [alias] => motornoe-maslo/,
  ),
  [2] => Array (
    [id] => 516,
    [name] => CEPSA,
    [alias] => motornoe-maslo/cepsa/
  ),
);

echo $myArray[1]['name'];