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



Research Paper | Mathematics | Nigeria | Volume 3 Issue 11, November 2014

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

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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Mbah Moses Anayo, Ugbene Ifeanyichukwu Jeff, Bakare Getta Naimat, "The Order of the Set of -Class for Semigroup of Order-Preserving and Order-Decreasing Partial Transformation", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=OCT14675, Volume 3 Issue 11, November 2014, 217 - 219

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