The concept of generalized
hypersubstitution for algebraic systems was
introduced by D. Phusanga and J. Joomwong
which was extended from concept of generalized
hypersubstitution for universal algebras. The
concepts of the idempotent and regular elements are
important role in semigroup theory. In this paper, we
characterize the idempotent and regular elements
of the set of all generalized hypersubstitutions for
algebraic systems of type