Idempotents in polynomial rings
type: Item
instance of: scholarly article
title: Idempotents in polynomial rings
zbMATH Open document ID: 0792.16029
DOI: 10.1007/BF00050898
published in: Acta Mathematica Hungarica
publication date: 1993-04-01T00:00:00Z
review text: The author examines central idempotents and faithful Abelian idempotents [as in \textit{K. R. Goodearl}'s Von Neumann regular rings (1979; Zbl 0411.16007)] for the specific case of skew polynomial rings (Ore extensions). Generally they are found to be restricted to the appropriate idempotents in the group ring, though this may be false if the skewing automorphism shifts (general) idempotents. Reviewer notes that: (1) the examples in (2.3) and (2.4) can be given for ordinary polynomial rings over matrices; (2) the coefficients of \(h\) in (3.8) are reversed; (3) the equation in the proof of (3.9) should be the equation of Proposition (3.1).
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16D40
zbMATH DE Number: 148681
zbMATH Keywords: Ore extensions
zbMATH Keywords: central idempotents
zbMATH Keywords: faithful Abelian idempotents
zbMATH Keywords: skew polynomial rings
author: Ahmed A. M. Kamal
MaRDI profile type: Publication
cites work: Sur les anneaux simples différentiels
full work available at URL: https://doi.org/10.1007/bf00050898
OpenAlex ID: W1964282589
description: scientific article; zbMATH DE number 148681