Linear sets from projection of Desarguesian spreads

Every linear set in a projective space is the projection of subgeometry, and most known characterizations sets are given under this point view. For instance, scattered pseudoregulus type obtained by considering Desarguesian spread subgeometry projecting from vertex which spanned all but two director spaces. In paper we introduce concept h -pseudoregulus type, turns out to be projected span an arbitrary number spaces subgeometry. Among these sets, characterize those -scattered solve equivalence problem between them; key role played algebraic tool recently introduced literature as Moore exponent set. As byproduct, classify asymptotically type.