ON THE COMBINATORIAL PROPERTIES OF NILPOTENT AND IDEMPOTENT CONJUGACY CLASSES OF THE INJECTIVE ORDER-DECREASING TRANSFORMATION SEMIGROUP

I. J. Ugbene; M. A. Mbah

ON THE COMBINATORIAL PROPERTIES OF NILPOTENT AND IDEMPOTENT CONJUGACY CLASSES OF THE INJECTIVE ORDER-DECREASING TRANSFORMATION SEMIGROUP

المؤلفون

I. J. Ugbene
ugbene_ifeanyi@fupre.edu.ng

Department of Mathematics, Federal University of Petroleum Resources, Effurum, Delta State
M. A. Mbah
2Department of Mathematics,Federal University, Lafia, P.M.B. 146 Nasarawa State

الكلمات المفتاحية:

Array، Array، Array، Array

الملخص

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

Dimensions

REFERENCES

PDF (الإنجليزية)

منشور

2021-02-15

كيفية الاقتباس

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