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