On classical quotient rings of skew Armendariz rings.
type: Item
instance of: scholarly article
title: On classical quotient rings of skew Armendariz rings.
zbMATH Open document ID: 1140.16011
DOI: 10.1155/2007/61549
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-06-03T00:00:00Z
full work available at URL: https://eudml.org/doc/54287
review text: Summary: Let \(R\) be a ring, \(\alpha\) an automorphism, and \(\delta\) an \(\alpha\)-derivation of \(R\). If the classical quotient ring \(Q\) of \(R\) exists, then \(R\) is weak \(\alpha\)-skew Armendariz if and only if \(Q\) is weak \(\widetilde\alpha\)-skew Armendariz.
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16S90
Mathematics Subject Classification ID: 16W25
zbMATH DE Number: 5282528
zbMATH Keywords: ring endomorphisms
zbMATH Keywords: derivations
zbMATH Keywords: additive maps
zbMATH Keywords: skew polynomial rings
zbMATH Keywords: Armendariz rings
zbMATH Keywords: Ore extensions
zbMATH Keywords: classical right quotient rings
author: Alireza Nasr-Isfahani
author: A. Moussavi
MaRDI profile type: Publication
OpenAlex ID: W1984312696
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description: scientific article; zbMATH DE number 5282528