Newbie question about compatibility
I'm not exactly sure what you mean by compatible... The SSR module is not an Arduino Shield form factor so you won't be able to just stack it onto the Arduino Uno. But you should be able to connect the two boards with some hookup wire. From what limited information is available on the project page the SSR Module implements eight of these circuits:


An Arduino digital output can drive the node labeled CH1 high to activate the relay.

The relay being referenced by the product page is discontinued by the manufacturer. That being said, looking at its datasheet, the operating current for the SSR is 7 to 20 mA, so it seems like a safe bet to operate the board from the 5V regulated output of the Arduino, which is derived from the 7 to 15VDC input provided to its 2.1mm barrel jack connector. You can also provide it 5V directly to the Arduino through the USB connector.

Finally, I know you didn't ask this, but if you are switching lights, you might be in some trouble with these relays. Incandescent lights, in particular, have a rather large inrush current when powered on cold. The relays on this board are only rated to handle 2A max, so keep that in mind. You might need to throw in some beefy current limiting resistors for example to counteract the initial inrush current.