International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 112 | Views: 194

Research Paper | Mathematics | Nigeria | Volume 3 Issue 11, November 2014 | Rating: 6.1 / 10


The Order of the Set of -Class for Semigroup of Order-Preserving and Order-Decreasing Partial Transformation

Mbah Moses Anayo | Ugbene Ifeanyichukwu Jeff | Bakare Getta Naimat


Abstract: The major problems usually encountered by transformation semigroup is that of enumeration Umar, 2010. Here we studied the elements of partial transformation and extracted those that are order-preserving and order-decreasing which is a subsemigroup of partial transformation. Thus we listed the elements that satisfy the -class for. A general order of obtaining the set of -class for was obtained.


Keywords: class, Greens relation, order-preserving and order-decreasing partial transformation semigroup, partial transformation semigroup


Edition: Volume 3 Issue 11, November 2014,


Pages: 217 - 219


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