Geodesic
Rings of Laurent series, Laurent rings, and Malcev--Neumann rings
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 184 (2020), pp. 3-111

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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.
Keywords: ring of skew Laurent series, Laurent ring, Malcev–Neumann ring. 
@article{INTO_2020_184_a0,
     author = {A. A. Tuganbaev},
     title = {Rings of {Laurent} series, {Laurent} rings, and {Malcev--Neumann} rings},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--111},
     publisher = {mathdoc},
     volume = {184},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_184_a0/}
}
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A. A. Tuganbaev. Rings of Laurent series, Laurent rings, and Malcev--Neumann rings. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 184 (2020), pp. 3-111. http://geodesic.mathdoc.fr/item/INTO_2020_184_a0/