I know the "Two-Wire" brand router. It is sometimes sold with a DSL package. It does everything and when working, works good. Mine did not have a visible antenna, but it was good in the house.
It will appear as an AP (Access Point) to any PC or Laptop that has a 902.11 wireless adapter. The PC or Laptop would use the Infrastructure or the Ad-Hoc mode.
Router to router does not work because the router is a AP, not a client. But there are some exceptions to this rule. I think I had a Linksys router that wanted to spy on everyone. I could peek into neighbor's Windows PC. (That is another story.)
Simple answer, no, you can not do it. I think.