Abstarct: In this thesis, we investigate the structure of Ore extensions. Also, we want to peruse some notable results in noncommutative rings. In this regard, we study some important classes of noncommutative rings such as reversible, right duo, IFP and also abelian. By using these properties, we get closer to the commutative rings, and for this reason they are called cousins of commutative rings. Also, we determine some elements such as unit, idempotent, von Neumann regular, von Neumann local, pi-regular and clean in skew polynomial rings, skew Laurent polynomial rings and skew inverse Laurent series rings. In the following, we also investigate some radical-theoretic properties of skew inverse Laurent series rings and specify their Jacobson radicals.