Browsing by Author "GN Bakare"

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    Some algebraic properties of order-preserving full contraction transformation semigroup
    (SCIK publisher, 2019) Ibrahim, G. R.; A.T Imam,; AD Adeshola,; GN Bakare
    Let be a finite set, the semigroup of full contraction and order-preserving full contraction transformation semigroup of a finite set. In this paper the Local and global U-depth as well as the status of were investigated where U is the generating set. The local and global depth were found from the known generating Set of and also, the status of the semigroup was obtained from the product of global depth and the order of generating of . For , local depth of α is equal to its defect, global depth and status of are and respectively. We also look at the structure of Green’s relations of order-preserving full contraction transformation semigroup.