I too have a door knob with no screws. I have removed the knob and plate from the inside. This does not expose any screws. Instead there are 4 tabs sticking thru 4 slots. One of the tabs had a pin thru it to secure it. I removed the pin with needle nose pliers. But it will still not come apart. I tried pushing the latch in and pulling it out, but it did not help. Using a screw driver, I pushed the 4 tabs into the slots. But the mechanism still does not come apart. There has to be a trick I am missing.
I only have a picture of the inside of the door. I have loosened the plate on the outside, but that does not give much of a view since the knob on the outside cannot be removed like the inside one. Mostly you can just see a large spring that is between the plate and the mechanism. There are no screws on the outer side either (not that I expected any).
I have replaced many door knobs, but I can't figure this one out. Below is a picture from the inside after having removed the knob and plate plus pushing the tabs thru the slots. As you can see, that is mostly all there is. The 4 tabs and slots.
Does anyone have a clue how you remove this kind of lock?