Browsing by Author "Habibu, Shamsuddeen"

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    On Cardinality in Finite Semigroup of Full Order-Preserving ContractionsOn Cardinality in Finite Semigroup of Full Order-Preserving Contractions
    (Department of Mathematics, Nasarawa State University Keffi, 2022-04-04) Habibu, Shamsuddeen; Umar, Mallam Abdulkarim; Oduwole, H.K.; Ibrahim, Yusuf Kakangi; Braimoh, Jaiyeola Olorunshola
    In 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- x a
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    On Number of Idempotent Elements in Finite Semigroup of Full Order -Preserving Contractions
    (Department of Mathematics, Nasarawa State University Keffi, 2021-10-28) Amadu, Kabiru; Umar, Mallam Abdulkarim; Habibu, Shamsuddeen; Bello, Asma'u
    In 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).