FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 1, PAGES 315-317

Regular rings of Laurent series

K.I.Sonin

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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