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Kwara State University

Risqot Ibrahim-Garba

Designation: Lecturer 1
Department: Statistics and Mathematical Sciences
My Publications
S/N Title Abstract Authors Volume Numbers Publication Type Publication Date Link
1

Conjugacy Classes of the Order-Preserving And Order-Decreasing Partial One-to-one Transformation Semigroups

In this paper 𝐼𝑛 is considered to be the partial one-to-one transformation semigroup on X  n n = 1,2,, . The order-preserving and order-decreasing partial one-to-one transformation semigroup(𝐼𝐢𝑛) is defined to be the subsemigroups of 𝐼𝑛. The nilpotent and idempotent elements of 𝐼𝐢𝑛 were then obtained from its conjugacy classes using path structure to be n+1 and 1 192 𝑛4 βˆ’ 1 16 𝑛3 + 29 48 𝑛2 βˆ’ 𝑛 + 2 respectively. The index and period of each conjugacy classes were also found. More so, some properties of conjugacy classes were stated.
Total Publications : 15