Semiprime and semiperfect rings of Laurent series
We consider the properties of being semiprimitive and semiperfect for rings of Laurent series and give some sufficient conditions for these rings to be primitive. The main results are the following theorems: Theorem 1. If \(R\) is a \(\varphi\)-prime right Goldie ring, then the ring \(R((x,\varphi))\) of skew Laurent series is semiprimitive. Theorem 3. If a ring \(R\) is semiperfect, then the ring \(R((x,\varphi))\) is also semiperfect.
scientific article; zbMATH DE number 1158896