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I just rent a house and the floor of the rooms is tiled. I would like to put a lino without damaging the tiles, so as not to worry about the day that I make housing.

It is more likely a PVC plastic coating, not a linoleum (it's not the same product)
A plastic coating can be laid on tiles without gluing: we speak of free standing. This plastic coating can be attached to the periphery using double-sided adhesive tape, which avoids any degradation in the tiling.
Attention: if the joints of the tiling are strongly marked, it is probable that they will reappear "in ghost" after a few months, according to the importance of the passages.

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