A new category of multi-purpose polymers is presented, the polymers being capable to serve as a cement dispersing agent and which at the same time are set-accelerating and do have shrinkage reducing- and anticorrosive properties to steel. The polymers are ester and amide group-modified acrylic polymers, obtainable by a polymer analogous esterification of a polyacrylic acid with 1) a monofunctional polyalkyleneglycol-monoalkylether, 2) a tertiary alkanolamine and optionally 3) by amidation with a amino-polyalkylenglycol alkylether. The multi-purpose polymers serve for cement dispersing admixture for concrete with set accelerating, shrinkage compensating and anticorrosive properties to steel.