Combinatorial Properties of Order-Preserving and Order-Decreasing Semigroup of Partial Injective Contraction Mapping
1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
2 Department of Mathematics, University of Ilorin, Nigeria.
* Corresponding author: bmahmed@njmajournal.com.ng
2 Department of Mathematics, University of Ilorin, Nigeria.
* Corresponding author: bmahmed@njmajournal.com.ng
Abstract
Let CIn be the semigroup of partial injective contraction mappings. The focus of this paper is to provide some properties subsemigroups of CIn which are semigroup of order reserving partial injective contraction mapping (OCIn) and semigroup of order decreasing partial injective contraction mapping (DCIn). The results on this work are combinatorial properties of subsemigroups of CIn which are both order-preserving and order decreasing denoted by ODCIn.
Keywords
Order-Reversing Partial Transformation
Order-Decreasing Semigroup & Partial Injective Contraction Mapping.
How to Cite
Ahmed, B. M., & Makanjuola, D. S. O. (2016). Combinatorial Properties of Order-Preserving and Order-Decreasing Semigroup of Partial Injective Contraction Mapping. Nigerian Journal of Mathematics and Applications, 25(1), 65-79.
B. M. Ahmed, and D. S. O. Makanjuola, "Combinatorial Properties of Order-Preserving and Order-Decreasing Semigroup of Partial Injective Contraction Mapping," Nigerian Journal of Mathematics and Applications, vol. 25, no. 1, pp. 65-79, June 2016.
