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M. Balarabe

Publications (1)

Rank of the Subsemigroup of the Semigroup of Finite Full Contraction Maps Generated by Elements of Defect One

A. T. Imam, M. Balarabe & M. J. Ibrahim · Journal of Advances in Mathematics and Computer Science · 2019

Let Tn be the semigroup of full transformation on a nite set n. Then, a map ∈ Tn is said to be a contraction, if for all x; y ∈ Xn, |x − y| ≤ |x − y|. Let CTn denote the subsemigroup of all contraction maps in Tn. In this paper we calculated the rank of the subsemigroup of CTn ge...

Open access Research Article 10.9734/JAMCS/2019/41513