GR

Garba Risqot Ibrahim

Department Mathematics and Statistics, Kwara State University Malete, Nigeria

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Research Article Vol. 32, Issue 1

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

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 −...

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