The paper treats the problem of Ricci-recurrent semi-decomposable (pseudo) Riemannian spaces, whose scalar curvature is a constant and consequently, its reccurence vector need not to be a gradient of scalar curvature logarythm. A number of properties of such spaces and also, following the classification of well-are known spaces with the semi-decomposable metric, some properties of their Ricci tensors are given.