A foamed or non-foamed stable composition for covering walls, floor slabs and ceilings, and for producing structural elements, casting ferro-cement structural systems, insulating piping, ducts, filling spaces, stabilizing floors and producing cements floors, for the constructions industry and thermal insulation which comprises the following components in percentage in weight, 30 to 90% anhydrite, a Portland cement in an amount of from 1 to 60%, 0 to 70% light and/or heavy fillers, 1 to 10% activator additives selected from the group consisting of potassium sulfate, aluminum sulfate, calcium hydroxide, and mixtures thereof, and 1 to 12% thickening additives selected from the group consisting of acrylic resins, silicon polymers and cellulose polymers, and mixtures thereof.