2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116674We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally appear in relative hypersurface theory.The paper is dedicated to the memory of the first author (N. Blazic) who passed away Monday 10 October 2005Differential Geometry53B20text