In this paper, we complete an early result by R. Khosravi and M. Roueentan on the hollow act and obtained new properties and characterizations for this notion continues the account of hollow act for commutative monoids begun on 2019. This notion (hollow acts) represents a dual notion to the uniform acts which were submit by M. Roueentan and M. Sedaghatjoo on 2017. An S-act Ms is referred to as hollow act if every subact Ns of Ms is small where a subact Ns is called small (or superfluous) in Ms if for every subact Hs of MS, NS∪HS=MS implies Hs=Ms. Equally, we reformulate this definition in another words as follows: an S-act Ms is referred to as hollow if whenever N1,N2 are subacts of Ms and N1 ∪N2 = Ms implies either N1=Ms or N2= Ms. Conditions under which subacts are inheriting the property of the Hollow act have been examined. As well as the condition on the quotient subact to be Hollow act was studied. Other properties of the small subact differ from those properties which were early studied by the author are investigated. In the interests of simplicity, the relationship between hollow acts and cyclic act is considered. As a consequence, conditions to coincide those classes are shown. Ultimately, the notion of the Hollow act was used to study when the endomorphism monoid will be local.