1. Сopy into /Images pictures from attach Mantis_Resolution_Images.zip

2. Add file custom_functions_inc.php, same place as config_inc.php
with next content
//in othere way change core/custom_function_api.php, and add some param to config_inc.php (as attachment indicator I propose Resolution_Indicator):

<?php

### Overrided Custom Function API ###

function custom_function_override_get_columns_to_view ( $p_columns_target = COLUMNS_TARGET_VIEW_PAGE ) {
    $t_columns = array();

    if ( $p_columns_target == COLUMNS_TARGET_CSV_PAGE ) {
        $t_columns[] = 'id'; // localized: 'id',
        $t_columns[] = 'project_id'; // 'email_project'
        $t_columns[] = 'reporter_id'; // 'reporter'
        $t_columns[] = 'handler_id'; // 'assigned_to'
        $t_columns[] = 'priority'; // 'priority'
        $t_columns[] = 'severity'; // 'severity'
        $t_columns[] = 'reproducibility'; // 'reproducibility'
        $t_columns[] = 'version'; // 'version'
        $t_columns[] = 'projection'; // 'projection'
        $t_columns[] = 'category'; // 'category'
        $t_columns[] = 'date_submitted'; // 'date_submitted'
        $t_columns[] = 'eta'; // 'eta'
        $t_columns[] = 'os'; // 'os'
        $t_columns[] = 'os_build'; // 'os_version'
        $t_columns[] = 'platform'; // 'platform'
        $t_columns[] = 'view_state'; // 'view_status'
        $t_columns[] = 'last_updated'; // 'last_update'
        $t_columns[] = 'summary'; // 'summary'
        $t_columns[] = 'status'; // 'status'
        $t_columns[] = 'resolution'; // 'resolution'
        $t_columns[] = 'fixed_in_version'; // 'fixed_in_version';

        if ( OFF == config_get( 'enable_relationship' ) ) {
            $t_columns[] = 'duplicate_id'; // 'duplicate_id'
        }
    } else {
        $t_columns[] = 'selection';

        if ( $p_columns_target == COLUMNS_TARGET_VIEW_PAGE ) {
            $t_columns[] = 'edit';
        }

        $t_columns[] = 'priority';
        $t_columns[] = 'id';

        $t_enable_sponsorship = config_get( 'enable_sponsorship' );
        if ( ON == $t_enable_sponsorship ) {
            $t_columns[] = 'sponsorship_total';
        }

        $t_columns[] = 'bugnotes_count';

        $t_show_attachments = config_get( 'show_attachment_indicator' );
        if ( ON == $t_show_attachments ) {
            $t_columns[] = 'attachment';
        }

        $t_columns[] = 'category';
        $t_columns[] = 'severity';
        $t_columns[] = 'status';
        $t_columns[] = 'resolution_png'; <b>//here is the difference from default</b>
        $t_columns[] = 'last_updated';
        $t_columns[] = 'summary';
    }

    return $t_columns;
}

?>

3. Add next content to core/columns_api.php
after last function:

function print_column_title_resolution_png ( $p_sort, $p_dir, $p_columns_target = COLUMNS_TARGET_VIEW_PAGE ) {
    if ( $p_columns_target != COLUMNS_TARGET_CSV_PAGE ) {
        //global $t_icon_path;
        $t_icon_path="http://192.168.5.7/mantis_dem/images/";

        echo "\t<td>";
        echo '<img src="' . $t_icon_path . 'resolution.png"' ;
        echo ' alt="' . lang_get( 'resolution' ) . '"';
        echo ' title="' . lang_get( 'resolution' ) . '"';
        echo ' width=18 heigh=16 />';
        echo "</td>\n";
    }
} 

function print_column_resolution_png ( $p_row, $p_columns_target = COLUMNS_TARGET_VIEW_PAGE ) {
    //global $t_icon_path;
    $t_icon_path="http://192.168.5.7/mantis_dem/images/";

    $t_image_path = null;
    $t_bug = bug_get( $p_row['id'] , true );
    $t_resolution_show = get_enum_element( 'resolution', $t_bug->resolution );

    switch($t_bug->resolution) {

//add here any different value for custom resolutions
case 10:
$t_image_path = $t_icon_path . 'open.png'; break;
case 20:
$t_image_path = $t_icon_path . 'fixed.png'; break;
case 30:
$t_image_path = $t_icon_path . 'reopen.png'; break;
case 40:
$t_image_path = $t_icon_path . 'unable_to_reproduce.png'; break;
case 50:
$t_image_path = $t_icon_path . 'not_fixable.png'; break;
case 60:
$t_image_path = $t_icon_path . 'duplicate.png'; break;
case 70:
$t_image_path = $t_icon_path . 'no_change_required.png'; break;
case 80:
$t_image_path = $t_icon_path . 'suspended.png'; break;
case 90:
$t_image_path = $t_icon_path . 'wont_fix.png'; break;
}

    echo "\t<td class=\"center\">";
    if ( $t_image_path != null ) {
        echo '<img border="0" src="' . $t_image_path . '"';
        echo ' alt="' . $t_resolution_show . '"';
        echo ' title="' . $t_resolution_show . '"';
        echo ' width=16 heigh=16 />';
        echo '   ';
    }
    echo "</td>\n";
}