Key points are not available for this paper at this time.
For n ≥ 2, let Pn, In, Tn, and Sn be the partial transformation semigroup, symmetric inverse semigroup, (full) transformation semigroup, and symmetric group on the set Xn = 1,. . . , n, respectively. In this paper, we find the ranks of certain subsemigroups of Pn, In, and Tn consisting of transformations with idempotent complement whose restrictions to the set Xm belong to the (possible) semigroup Sm, Im, Tm, or Pm for 1 ≤ m ≤ n − 1.
BUGAY et al. (Wed,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: