Semiprime and semiperfect rings of Laurent series
type: Item
instance of: scholarly article
title: Semiprime and semiperfect rings of Laurent series
zbMATH Open document ID: 0897.16025
DOI: 10.1007/BF02305188
published in: Mathematical Notes
publication date: 1998-08-04T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 16W60
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16L30
Mathematics Subject Classification ID: 16D60
zbMATH DE Number: 1158896
zbMATH Keywords: prime right Goldie rings
zbMATH Keywords: semiprimitive rings
zbMATH Keywords: semiperfect rings
zbMATH Keywords: rings of Laurent series
author: Konstantin Sonin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1158896