the Lorenz order, is a bounded join semi-lattice. Furthermore, the set admits as sublattice the S-Lorenz core intersected … greatest element of the S-Lorenz core on the rank-preserving region the allocation belongs to. Besides, our results suggest … with the region compatible with the ranking. This result uncovers a new property about the structure of the S-Lorenz core …

the Lorenz order, is a bounded join semi-lattice. Furthermore the set admits as sublattice the S-Lorenz core intersected …-Lorenz core on the rank-preserving region the allocation belongs to. Besides, our results suggest that the comparison between W … with the region compatible with the ranking. This result uncovers a new property about the structure of the S-Lorenz core …