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The Order of the Set of -Class for Semigroup of Order-Preserving and Order-Decreasing Partial Transformation
Journal: International Journal of Science and Research (IJSR) (Vol.3, No. 11)Publication Date: 2014-11-05
Authors : Mbah Moses Anayo; Ugbene Ifeanyichukwu Jeff; Bakare Getta Naimat;
Page : 217-219
Keywords : class; Greens relation; order-preserving and order-decreasing partial transformation semigroup; partial transformation semigroup;
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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.
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