My Publications | ||||||||
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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 πΌπ is considered to be the partial one-to-one transformation semigroup on X ο» nο½ n = 1,2,ο, . The order-preserving and order-decreasing partial one-to-one transformation semigroup(πΌπΆπ) is defined to be the subsemigroups of πΌπ. The nilpotent and idempotent elements of πΌπΆπ were then obtained from its conjugacy classes using path structure to be n+1 and 1 192 π4 β 1 16 π3 + 29 48 π2 β π + 2 respectively. The index and period of each conjugacy classes were also found. More so, some properties of conjugacy classes were stated. | Ugbene I. J., Bakare G.N. and Ibrahim G.R | 15(1) | Journal | 2019-06-01 | https://jostmed.futminna.edu.ng/index.php/archives/item/24-jostmed-15-2-june-2019 |