The Algebraic Structure of a Semigroup of Sets of Transformations with Restricted Range
Ananya Anantayasethi, Joerg Koppitz · Thai Journal of Mathematics · 2020
We study a semigroup which represents a semigroup of sets of Boolean functions on a finite set using the concept of transformations with restricted range. For this semigroup, we determine the algebraic structure. In particular, we characterize the (left, right, and two-sided) ideals and the Green's relations. Moreover, for each of the Green's relations, we provide the greatest included congruence.