Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a Δ-Structure

الملخص EN

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 TX.

We also define a sub-semigroup of that semigroup.

The regularity of those two semigroups is also studied.