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

Auteur/ices

  • I. J. Ugbene
    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

Mots-clés :

Array, Array, Array, Array

Résumé

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
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Publiée

2021-02-15

Comment citer

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

Numéro

Vol. 1 No 1 (2015): Fulafia Journal of Science and Technology (FJST)

Rubrique

Physical Sciences
Copyright & Licensing

Comment citer

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

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