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

المؤلفون

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

الكلمات المفتاحية:

Combinatorial properties، Nilpotent conjugacy classes، Idempotent conjugacy classes، Injective Orderdecreasing Transformation semigroup

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

التنزيلات

تنزيل البيانات ليس متاحًا بعد.
bak

التنزيلات

منشور

2021-02-15

إصدار

مجلد 1 عدد 1 (2015): Fulafia Journal of Science and Technology (FJST)

القسم

Physical Sciences

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

المؤلفات المشابهة

1-10 من 27

يمكنك أيضاً إبدأ بحثاً متقدماً عن المشابهات لهذا المؤلَّف.