Amadu, KabiruUmar, Mallam AbdulkarimHabibu, ShamsuddeenBello, Asma'u2023-12-142023-12-142021-10-28Umar, M.A. et al. (2021) On Number of Idempotent Elements in Finite Semigroup of Full Order -Preserving Contractionshttps://keffi.nsuk.edu.ng/handle/20.500.14448/5780In this paper, we considered the semigroupOCTn consisting of all mappings of a-finite set Xn - (1, 2, 3, - - - , n} which are both order — preserving and contraction, that is mappinga : Xn -» Xn ^ ich that, for all ,y e Xn, x => x a £ y a,anc | x a — *y a <1 x—y| . In particular, we proposed a closed form formula for the number of idempotent elements in OCTn, (that is elements oc satisfying oc2=oc).enFull Transformation, Contraction, IdempotentArticle