Abstarct: One‎ of most important algebraic structures that has recently been considered is the skew generalized power series rings that is a generalization of important structures such as polynomial rings, Laurent polynomial rings, power series rings, Laurent power series rings, monoid rings and ofcours twisted version of them. In this thesis, we investigate some properties of annihilators in generalized power series rings such as McCoy property, Zip property, Property (A) and strongly AB property. Also we study the zero-divisor graph of generalized power series ring ‎and ‎some ‎classical ‎ring ‎constructions ‎such ‎as ‎skew ‎power ‎series ‎ring. ‎Furthermore, ‎we ‎determine ‎some ‎type ‎of ‎elements ‎such ‎as ‎idempotent, ‎unit, ‎clean ‎and‎ ‎nil-clean ‎elements ‎in ‎skew ‎monoid ‎ring ‎that ‎is a‎ ‎special ‎case ‎of ‎generalized ‎power ‎series ‎ring. ‎ Then ‎we ‎study ‎induced ‎subgraphs, Γ(Idem(R)), Γ(cln(R)), of Γ(R) and induced subgraphs Γ(Idem(R*S)), Γ(cln(R*S)) of Γ(R*S), where R is a ring and S is a monoid.