I develop a Rails application and I added simple route:
Name::Application.routes.draw do
  resource :categories
end
The problem is that there is no member id in the generated URLs:
$ rake routes
categories      POST   /categories(.:format)      categories#create
new_categories  GET    /categories/new(.:format)  categories#new
edit_categories GET    /categories/edit(.:format) categories#edit
                GET    /categories(.:format)      categories#show
                PUT    /categories(.:format)      categories#update
                DELETE /categories(.:format)      categories#destroy
I use Rails 3.2.3. I don't use ActiveRecord in the application (but I don't know if it is relevant). I have a model Category and CategoriesController. 
What might be the problem?
You forgot to add s in the end: 
resources :categories
resources and resource are different things: resources and resource. 
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