CARDINALITY AND IDEMPOTENCY OF SIGNED ORDER-PRESERVING TRANSFORMATION SEMIGROUPS
1 Department of Mathematics, University of Abuja, Nigeria.
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematics, Faculty of Science, University of Abuja, Abuja, Nigeria
* Corresponding author: mmogbonju@gmail.com
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematics, Faculty of Science, University of Abuja, Abuja, Nigeria
* Corresponding author: mmogbonju@gmail.com
Abstract
Let SOn; SPOn and SIOn denotes the sets of signed full order - preserving, signed partial-order-preserving, and signed partial-one-one-order-preserving transformation semigroupsrespectively. Let be a transformation from Xn ! Z. This paper investigates and established the order and idempotency of the set of signed order-preserving transformation semigroups.
Keywords
Order - preserving
Idempotent
Transformation semigroup
How to Cite
Mogbonju, M. M., Makanjuola, S. O., & O, A. A. (2016). CARDINALITY AND IDEMPOTENCY OF SIGNED ORDER-PRESERVING TRANSFORMATION SEMIGROUPS. Nigerian Journal of Mathematics and Applications, 25(1), 241-245.
M. M. Mogbonju, S. O. Makanjuola, and A. A. O, "CARDINALITY AND IDEMPOTENCY OF SIGNED ORDER-PRESERVING TRANSFORMATION SEMIGROUPS," Nigerian Journal of Mathematics and Applications, vol. 25, no. 1, pp. 241-245, June 2016.
