Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3516
Abstract
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.
Keywords
idempotent, Partial (full) transformation semigroup, rank, symmetric group, symmetric inverse semigroup
First Page
414
Last Page
422
Recommended Citation
BUGAY, LEYLA; SÖNMEZ, RUKİYE; and AYIK, HAYRULLAH
(2024)
"Ranks of certain semigroups of transformations with idempotent complement
whose restrictions belong to a given semigroup,"
Turkish Journal of Mathematics: Vol. 48:
No.
3, Article 5.
https://doi.org/10.55730/1300-0098.3516
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss3/5
