Cleaning Vinyl or Linoleum Floors

I have flooring in my basement that was installed, I think, in the early 70s. I do not know if it is vinyl or linoleum. It is adhered to concrete in sheets and it has a pebble type design with mostly black, gray, and tan colors. I like the look of it, but have never wet cleaned or shined it. It has light and dark stains on it in various places. How can I figure out if it is vinyl or linoleum? What should I use to clean it? Is there a product I could use to shine it without using the old-fashioned wax or polish?

By JS