Geodesic
Regular rings of Laurent series
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 315-317.

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The following conditions for the ring $A((x))$ of Laurent series over a ring $A$ are equivalent: 1) $A((x))$ is a regular ring; 2) $A((x))$ is a semisimple Artinian ring; 3) $A$ is a semisimple Artinian ring. 
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     author = {K. Sonin},
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K. Sonin. Regular rings of Laurent series. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 315-317. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a20/

[1] Feis K., Algebra, koltsa, moduli i kategorii, 2, Mir, M., 1979 | MR

[2] Lambek I., Koltsa i moduli, Mir, M., 1971 | MR | Zbl