Quadratic central differential relations with involution
type: Item
instance of: scholarly article
title: Quadratic central differential relations with involution
zbMATH Open document ID: 0838.16018
published in: Journal of Algebra
publication date: 1996-05-30T00:00:00Z
review text: The author continues the series of papers on differential identities and relations. Let \(R\) be a prime ring with involution, \(d\) and \(h\) be derivations of \(R\) and \(c_i\) be elements in the extended centroid of \(R\). The main result gives a detailed description of expressions \(c_1 x^d y^h+ c_2 y^h x^d+ c_3 x^h y^d+ c_4 y^d x^h\) that have central values when evaluated at the symmetric or skew-symmetric elements of \(R\).
Mathematics Subject Classification ID: 16R50
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16U70
zbMATH DE Number: 840166
zbMATH Keywords: differential identities
zbMATH Keywords: prime ring with involution
zbMATH Keywords: derivations
zbMATH Keywords: extended centroid
zbMATH Keywords: central values
zbMATH Keywords: skew-symmetric elements
author: Charles Lanski
reviewed by: Matej Brešar
MaRDI profile type: Publication
full work available at URL: jabr.1996.0011
OpenAlex ID: W2022132035
DOI: 10.1006/JABR.1996.0011
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description: scientific article; zbMATH DE number 840166