Downloading: The Order of the Set of -Class for Semigroup of Order-Preserving and Order-Decreasing Partial Transformation
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064



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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



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