get category parent link

add_filter('em_category_output_placeholder','my_em_styles_placeholders',1,3);
function my_em_styles_placeholders($replace, $EM_Category, $result){
	global $wp_query, $wp_rewrite;

	switch( $result ){
		case '#_CATEGORYPARENT':
			$replace = '';
			$arrCategory = get_terms(EM_TAXONOMY_CATEGORY,array('parent'=>0,'hide_empty'=>0) );
			foreach($arrCategory as $arrterm) {
				$child = get_term_children($arrterm->term_id,EM_TAXONOMY_CATEGORY);

				if ( (count($child) == 0) && ($EM_Category->name ==  $arrterm->name)  ){
				 $replace = '<a href="' . get_term_link( $EM_Category->name, EM_TAXONOMY_CATEGORY ) . '">' . $EM_Category->name .'</a>' ;
				}else if ( (count($child) > 0) && ($EM_Category->name ==  $arrterm->name)  ){
				 $replace = '<a href="' . get_term_link( $EM_Category->name, EM_TAXONOMY_CATEGORY ) . '">' . $EM_Category->name .'</a>' ;
				}else{
					foreach($child as $term_child_id) {
					 $term_child = get_term_by('id',$term_child_id,EM_TAXONOMY_CATEGORY);
					 if ( $term_child->name == $EM_Category->name ){
					  $replace = '<a href="' . get_term_link( $arrterm->name, EM_TAXONOMY_CATEGORY ) . '">' . $arrterm->name . '</a>';
					 }
					}
				}


			}
	}
	return $replace;
}