Can you install a ceramic tile floor over linoleum?
If you have a wood sub-floor at least 3/4″ inches think you can use most cement board without disturbing the existing linoleum. Again a laxtex modified thin-set is needed both under the cement board and with the tile. In addition to thin-set, you need to screw the board down every 8 inches. It sounds like over kill, but you want to make sure the board won’t move with any settling your home might do or the natural expansion and contractions of the wood sub-floor.