A NOTE ON FULL TRANSFORMATION SEMIGROUPThe topics in this paper deal with generating subsemigroups of the full transformation semigroup ????(????) on a totally ordered finite set (????, ≤) with an arbitrary equivalence relation ???? defined on it. Using the equiv

The topics in this paper deal with generating subsemigroups of the full transformation semigroup????(????) on a totally ordered finite set (????, ≤) with an arbitrary equivalence relation ???? defined on it.Using the equivalence relation on the set and the cardinality of the set, we investigate under whatconditions some of these subsemigroups of ????(????) generated are equal.