Habibu, ShamsuddeenUmar, Mallam AbdulkarimOduwole, H.K.Ibrahim, Yusuf KakangiBraimoh, Jaiyeola Olorunshola2023-12-142023-12-142022-04-04Umar, M.A. et al. (2022) On Cardinality in Finite Semigroup of Full Order -Preserving Contractionshttps://keffi.nsuk.edu.ng/handle/20.500.14448/5779In this work, we considered the semigroup OCTn consisting of all mappings of a finite set Xn = {1, 2, 3,---- , n} which are both order - preserving and contraction, that is mapping a •• Xn -» Xn such that, for all x ,y E Xnfx- <y => x a <y a, and | x a — y a | < | x — y\ . In particular, we established a closed form formular for the number of elements . in OCTnenFull Transformation, Contraction, Semigroup, order preservingArticle