Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a Δ -Structure
Jittisak Rakbud, Malinee Chaiya · International Journal of Mathematics and Mathematical Sciences · 2020
In this paper, we make use of the notion of the character of a transformation on a fixed set X , provided by Purisang and Rakbud in 2016, and the notion of a Δ -structure on X , provided by Magill Jr. and Subbiah in 1974, to define a sub-semigroup of the full-transformation semigroup T X . We also define a sub-semigroup of that semigroup. The regularity of those two semigroups is also studied.