SA

Sulaiman A. Akinwunmi

Department of Mathematics and Computer Science, Faculty of Science, Federal University of Kashere, P.M.B 0182, Gombe, Gombe State

sakinwunmi@fukashere.edu.ng
2 Publications
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6 Downloads

Publications 2

1
Research Article Vol. 32, Issue 1

Some Combinatorial Results on Star-Like Transformation Semigroup T αω∗ n

Garba Risqot Ibrahim*, Olasunkanmi Jafar Lawal, Sulaiman A. Akinwunmi, G. N. Bakare, Adeshola A. Dauda

Let Xn be a finite set and star-like full transformation semigroup T αω∗ n be a semigroup of Full Transformation semigroup Tn of Xn. Let Height of α ∗ be H+(α ∗ ) = | Imα∗ |, Fixed point of α ∗ be F(α ∗ ) = | {x ∈ X : xα∗ = x} |, Idempotent of α ∗ be | F(α ∗ ) |=| Imα∗ | , Collapse of (α ∗ ) be | ∪{tα−1 : t ∈ T αω∗} | and Relapse of (α ∗ ) be | n −...

DOI: 10.67897/njma.2022.jireubgc
Jun, 2022 Vol. 32, Issue 1 6 views 2 downloads
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2
Research Article Vol. 29, Issue 2

Enumeration of Partial Contraction Transformation Semi-groups

Sulaiman A. Akinwunmi*, Samuel O. Makanjuola

Let M = {1, 2 . . . n} on a partial transformation α, dom (α) : |αx − αy| whenever x, y ∈ dom(α) and |x − y|, then the semi-group CP T(M) of all contraction partial transformation of M is denoted by CP T n. In this article, we derive the formula for some of the (sequences) values of CP T n and obtained that |P Cn| = Pn k=0  n−2 q−3  , |P ODn| = ...

DOI: 10.67897/njma.2019.non1bmd6
Dec, 2019 Vol. 29, Issue 2 4 views 4 downloads
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