  We mainly generalize the notion of abelian transcendental semigroup to nearly
abelian transcendental semigroup. We prove that Fatou set, Julia set and
escaping set of nearly abelian transcendental semigroup are completely
invariant. We investigate no wandering domain theorem in such a transcendental
semigroup. We also obtain results on a complete generalization of the
classification of periodic Fatou components.
