Ranks of some subsemigroups of full contraction mappings on a finite chain

Kemal Toker


Let Z^+ denotes the set of all positive integers. Let X_n={1,2,...,n} be the finite chain for n \in Z^+ and let T_n be the full transformation semigroup on . 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.

Tam Metin:



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