Rings of Laurent series, Laurent rings, and Malcev-Neumann rings
This paper is a review with proofs of ring-theoretical properties of rings of skew Laurent series $A((x,\varphi))$ over a ring $A$, where $A$ is an associative ring with nonzero identity element. In addition, we consider Laurent rings and Malcev-Neumann rings which are proper extensions of skew Laurent series rings.