How to remove the category description column

Remove Category Description Field

/**
 * Remove default description column from category
 *
 */
function jw_remove_taxonomy_description($columns)
{
 // only edit the columns on the current taxonomy, replace category with your custom taxonomy (don't forget to change in the filter as well)
 if ( !isset($_GET['taxonomy']) || $_GET['taxonomy'] != 'category' )
 return $columns;

 // unset the description columns
 if ( $posts = $columns['description'] ){ unset($columns['description']); }
 return $columns;
}
add_filter('manage_edit-category_columns','jw_remove_taxonomy_description');

If you just want to truncate the description, in those cases when it's long but you still want to see it in the admin table, use this:

add_action( 'admin_head-edit-tags.php', 'admin_edit_tags' );
function admin_edit_tags() {
    add_filter( 'get_terms', 'admin_trim_category_description', 10, 2 );
}
    function admin_trim_category_description( $terms, $taxonomies ) {
	if ( !is_admin())
	        return;
	
    if( 'category' != $taxonomies[0] )
        return $terms;
    foreach( $terms as $key=>$term )
        // change 150 to the character length you want to trim the desc to
        $terms[$key]->description = substr( $term->description, 0, 150 );
    return $terms;
}