KEEP CHECKBOX CHECKED AFTER SUBMIT AND REFRESH/RELOAD PAGE

KEEP CHECKBOX CHECKED AFTER SUBMIT AND REFRESH/RELOAD PAGE

I have some view like this:
[CODE]
    <%= form_tag( riepilogo_path, method: "post", id: "sel") do %>
    <% for posti in @postis %>
        <%= check_box_tag "posti_ids[]", posti.id %>
        <%=h posti.numero %>
    <% end %>
    <%= submit_tag "OK"%>
    <% end %>

I want to check checkbox and keep checked after submit and refresh or reload a page. I write jquery code like so. But it is not works.
[/CODE]

[CODE]
        $(document).ready(function() 
    {  
     $("#sel").click( function(){
            var chkId= [];
            
            $("#posti_ids_:checked").each(function() 
            {
              chkId.push( $(this).val());
              
              a=chkId.length;
              localStorage.setItem(chkId, chkId.checked);
              chkId.checked = localStorage.getItem(chkId) === 'true' ?      
      true:false;
            });
            
           
        
          });
    });
[/CODE]

What is wrong here?

Thank you!