@article{article_707344, title={Ranks of some subsemigroups of full contraction mappings on a finite chain}, journal={Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={22}, pages={403–414}, year={2020}, DOI={10.25092/baunfbed.707344}, author={Toker, Kemal}, keywords={Sıra-koruyan/sıra-çeviren daralma dönüşümleri,doğuray kümeleri}, abstract={Let Z^+denotes the set of all positive integers. Let X_n={1,2,…,n} be the finite chain for n∈Z^+ and let T_n be the full transformation semigroup on X_n. Also let 〖OCT〗_n and 〖ORCT〗_n be the semigroup of order-preserving full contraction mappings, and the semigroup of order-preserving or order-reversing full contraction mappings on X_n, respectively. It is well-known that 〖OCT〗_n and 〖ORCT〗_n are subsemigroups of T_n. In this paper we obtain ranks of the semigroups 〖OCT〗_n and 〖ORCT〗_n.}, number={2}, publisher={Balıkesir Üniversitesi}