ON THE COMBINATORIAL PROPERTIES OF NILPOTENT AND IDEMPOTENT CONJUGACY CLASSES OF THE INJECTIVE ORDER-DECREASING TRANSFORMATION SEMIGROUP
Keywords:
Combinatorial properties, Nilpotent conjugacy classes, Idempotent conjugacy classes, Injective Orderdecreasing Transformation semigroupAbstract
The elements of the injective order-decreasing transformation semigroup using path structure (Circuits and Proper paths) introduced by Stephen Lipscomb is presented. The elements were grouped according to their conjugacy class, the nilpotents and the idempotents were identified and the nilpotent and idempotent conjugacy class chain decompositions studied. Some observations were made and their order enumerated. Formulae were found for their order and combinatorial properties
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Published
15-02-2021
Issue
Section
Physical Sciences
How to Cite
ON THE COMBINATORIAL PROPERTIES OF NILPOTENT AND IDEMPOTENT CONJUGACY CLASSES OF THE INJECTIVE ORDER-DECREASING TRANSFORMATION SEMIGROUP. (2021). FULafia Journal of Science and Technology , 1(1), 91-94. https://lafiascijournals.org.ng/index.php/fjst/article/view/15
